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Finding the Fourth Proportional to 407,712.90, 611,569.35 and 403,776.30

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Solution

The fourth proportional to 407,712.90, 611,569.35 and 403,776.30 is: 605,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.90 : 611,569.35 = 403,776.30 : x
  2. Step 2: Convert to fraction form
    407,712.90/611,569.35 = 403,776.30/x
  3. Step 3: Cross multiply
    407,712.90x = 611,569.35 × 403,776.30
  4. Step 4: Simplify right side
    407,712.90x = 246,937,209,336.41
  5. Step 5: Solve for x
    x = 246,937,209,336.41/407,712.90
  6. Step 6: Final answer
    x = 605,664.45

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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.