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Finding the Fourth Proportional to 397,416.52, 596,124.93 and 97,902.93

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Solution

The fourth proportional to 397,416.52, 596,124.93 and 97,902.93 is: 146,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,416.52 : 596,124.93 = 97,902.93 : x
  2. Step 2: Convert to fraction form
    397,416.52/596,124.93 = 97,902.93/x
  3. Step 3: Cross multiply
    397,416.52x = 596,124.93 × 97,902.93
  4. Step 4: Simplify right side
    397,416.52x = 58,362,377,293.04
  5. Step 5: Solve for x
    x = 58,362,377,293.04/397,416.52
  6. Step 6: Final answer
    x = 146,854.43

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1.5x scale

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.