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Finding the Fourth Proportional to 532,300.80, 732,710.58 and 464,197.62

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Solution

The fourth proportional to 532,300.80, 732,710.58 and 464,197.62 is: 638,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,300.80 : 732,710.58 = 464,197.62 : x
  2. Step 2: Convert to fraction form
    532,300.80/732,710.58 = 464,197.62/x
  3. Step 3: Cross multiply
    532,300.80x = 732,710.58 × 464,197.62
  4. Step 4: Simplify right side
    532,300.80x = 340,122,507,384.82
  5. Step 5: Solve for x
    x = 340,122,507,384.82/532,300.80
  6. Step 6: Final answer
    x = 638,966.74

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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.