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Finding the Fourth Proportional to 535,365.40, 803,048.10 and 409,394.20

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Solution

The fourth proportional to 535,365.40, 803,048.10 and 409,394.20 is: 614,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,365.40 : 803,048.10 = 409,394.20 : x
  2. Step 2: Convert to fraction form
    535,365.40/803,048.10 = 409,394.20/x
  3. Step 3: Cross multiply
    535,365.40x = 803,048.10 × 409,394.20
  4. Step 4: Simplify right side
    535,365.40x = 328,763,234,461.02
  5. Step 5: Solve for x
    x = 328,763,234,461.02/535,365.40
  6. Step 6: Final answer
    x = 614,091.30

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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.