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Finding the Fourth Proportional to 549,809.80, 824,714.70 and 409,841.80

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Solution

The fourth proportional to 549,809.80, 824,714.70 and 409,841.80 is: 614,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,809.80 : 824,714.70 = 409,841.80 : x
  2. Step 2: Convert to fraction form
    549,809.80/824,714.70 = 409,841.80/x
  3. Step 3: Cross multiply
    549,809.80x = 824,714.70 × 409,841.80
  4. Step 4: Simplify right side
    549,809.80x = 338,002,557,134.46
  5. Step 5: Solve for x
    x = 338,002,557,134.46/549,809.80
  6. Step 6: Final answer
    x = 614,762.70

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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.