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Finding the Fourth Proportional to 397,366.83, 596,051.60 and 97,854.48

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Solution

The fourth proportional to 397,366.83, 596,051.60 and 97,854.48 is: 146,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,366.83 : 596,051.60 = 97,854.48 : x
  2. Step 2: Convert to fraction form
    397,366.83/596,051.60 = 97,854.48/x
  3. Step 3: Cross multiply
    397,366.83x = 596,051.60 × 97,854.48
  4. Step 4: Simplify right side
    397,366.83x = 58,326,318,881.90
  5. Step 5: Solve for x
    x = 58,326,318,881.90/397,366.83
  6. Step 6: Final answer
    x = 146,782.05

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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.