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Finding the Fourth Proportional to 397,417.52, 596,126.43 and 97,903.93

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Solution

The fourth proportional to 397,417.52, 596,126.43 and 97,903.93 is: 146,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,417.52 : 596,126.43 = 97,903.93 : x
  2. Step 2: Convert to fraction form
    397,417.52/596,126.43 = 97,903.93/x
  3. Step 3: Cross multiply
    397,417.52x = 596,126.43 × 97,903.93
  4. Step 4: Simplify right side
    397,417.52x = 58,363,120,273.87
  5. Step 5: Solve for x
    x = 58,363,120,273.87/397,417.52
  6. Step 6: Final answer
    x = 146,855.93

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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.