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Finding the Fourth Proportional to 650,258.90, 975,388.35 and 414,646.10

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Solution

The fourth proportional to 650,258.90, 975,388.35 and 414,646.10 is: 621,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,258.90 : 975,388.35 = 414,646.10 : x
  2. Step 2: Convert to fraction form
    650,258.90/975,388.35 = 414,646.10/x
  3. Step 3: Cross multiply
    650,258.90x = 975,388.35 × 414,646.10
  4. Step 4: Simplify right side
    650,258.90x = 404,440,975,312.94
  5. Step 5: Solve for x
    x = 404,440,975,312.94/650,258.90
  6. Step 6: Final answer
    x = 621,969.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.