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Finding the Fourth Proportional to 535,842.40, 803,072.40 and 410,562.40

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Solution

The fourth proportional to 535,842.40, 803,072.40 and 410,562.40 is: 615,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,842.40 : 803,072.40 = 410,562.40 : x
  2. Step 2: Convert to fraction form
    535,842.40/803,072.40 = 410,562.40/x
  3. Step 3: Cross multiply
    535,842.40x = 803,072.40 × 410,562.40
  4. Step 4: Simplify right side
    535,842.40x = 329,711,331,917.76
  5. Step 5: Solve for x
    x = 329,711,331,917.76/535,842.40
  6. Step 6: Final answer
    x = 615,314.00

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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.