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Finding the Fourth Proportional to 215,670.40, 323,428.80 and 97,398.40

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Solution

The fourth proportional to 215,670.40, 323,428.80 and 97,398.40 is: 146,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,670.40 : 323,428.80 = 97,398.40 : x
  2. Step 2: Convert to fraction form
    215,670.40/323,428.80 = 97,398.40/x
  3. Step 3: Cross multiply
    215,670.40x = 323,428.80 × 97,398.40
  4. Step 4: Simplify right side
    215,670.40x = 31,501,447,633.92
  5. Step 5: Solve for x
    x = 31,501,447,633.92/215,670.40
  6. Step 6: Final answer
    x = 146,062.92

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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.