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Finding the Fourth Proportional to 553,301.80, 829,952.70 and 503,438.20

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Solution

The fourth proportional to 553,301.80, 829,952.70 and 503,438.20 is: 755,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,301.80 : 829,952.70 = 503,438.20 : x
  2. Step 2: Convert to fraction form
    553,301.80/829,952.70 = 503,438.20/x
  3. Step 3: Cross multiply
    553,301.80x = 829,952.70 × 503,438.20
  4. Step 4: Simplify right side
    553,301.80x = 417,829,893,373.14
  5. Step 5: Solve for x
    x = 417,829,893,373.14/553,301.80
  6. Step 6: Final answer
    x = 755,157.30

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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.