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Finding the Fourth Proportional to 473,013.80, 708,138.30 and 459,189.80

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Solution

The fourth proportional to 473,013.80, 708,138.30 and 459,189.80 is: 687,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,013.80 : 708,138.30 = 459,189.80 : x
  2. Step 2: Convert to fraction form
    473,013.80/708,138.30 = 459,189.80/x
  3. Step 3: Cross multiply
    473,013.80x = 708,138.30 × 459,189.80
  4. Step 4: Simplify right side
    473,013.80x = 325,169,884,349.34
  5. Step 5: Solve for x
    x = 325,169,884,349.34/473,013.80
  6. Step 6: Final answer
    x = 687,442.70

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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.