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Finding the Fourth Proportional to 535,349.34, 804,022.47 and 471,330.18

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Solution

The fourth proportional to 535,349.34, 804,022.47 and 471,330.18 is: 707,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,349.34 : 804,022.47 = 471,330.18 : x
  2. Step 2: Convert to fraction form
    535,349.34/804,022.47 = 471,330.18/x
  3. Step 3: Cross multiply
    535,349.34x = 804,022.47 × 471,330.18
  4. Step 4: Simplify right side
    535,349.34x = 378,960,055,509.15
  5. Step 5: Solve for x
    x = 378,960,055,509.15/535,349.34
  6. Step 6: Final answer
    x = 707,874.33

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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.