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Finding the Fourth Proportional to 197,624, 296,484.24 and 64,510.40

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Solution

The fourth proportional to 197,624, 296,484.24 and 64,510.40 is: 96,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,624 : 296,484.24 = 64,510.40 : x
  2. Step 2: Convert to fraction form
    197,624/296,484.24 = 64,510.40/x
  3. Step 3: Cross multiply
    197,624x = 296,484.24 × 64,510.40
  4. Step 4: Simplify right side
    197,624x = 19,126,316,916.10
  5. Step 5: Solve for x
    x = 19,126,316,916.10/197,624
  6. Step 6: Final answer
    x = 96,781.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.