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Finding the Fourth Proportional to 473,921.80, 709,500.30 and 460,097.80

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Solution

The fourth proportional to 473,921.80, 709,500.30 and 460,097.80 is: 688,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,921.80 : 709,500.30 = 460,097.80 : x
  2. Step 2: Convert to fraction form
    473,921.80/709,500.30 = 460,097.80/x
  3. Step 3: Cross multiply
    473,921.80x = 709,500.30 × 460,097.80
  4. Step 4: Simplify right side
    473,921.80x = 326,439,527,129.34
  5. Step 5: Solve for x
    x = 326,439,527,129.34/473,921.80
  6. Step 6: Final answer
    x = 688,804.62

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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.