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Finding the Fourth Proportional to 569,113.10, 853,669.65 and 542,869.10

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Solution

The fourth proportional to 569,113.10, 853,669.65 and 542,869.10 is: 814,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,113.10 : 853,669.65 = 542,869.10 : x
  2. Step 2: Convert to fraction form
    569,113.10/853,669.65 = 542,869.10/x
  3. Step 3: Cross multiply
    569,113.10x = 853,669.65 × 542,869.10
  4. Step 4: Simplify right side
    569,113.10x = 463,430,874,592.82
  5. Step 5: Solve for x
    x = 463,430,874,592.82/569,113.10
  6. Step 6: Final answer
    x = 814,303.65

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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.