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Finding the Fourth Proportional to 509,813.16, 703,560.20 and 292,060.72

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Solution

The fourth proportional to 509,813.16, 703,560.20 and 292,060.72 is: 403,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,813.16 : 703,560.20 = 292,060.72 : x
  2. Step 2: Convert to fraction form
    509,813.16/703,560.20 = 292,060.72/x
  3. Step 3: Cross multiply
    509,813.16x = 703,560.20 × 292,060.72
  4. Step 4: Simplify right side
    509,813.16x = 205,482,298,575.34
  5. Step 5: Solve for x
    x = 205,482,298,575.34/509,813.16
  6. Step 6: Final answer
    x = 403,054.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.