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Finding the Fourth Proportional to 381,710.70, 572,585.76 and 97,403.76

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Solution

The fourth proportional to 381,710.70, 572,585.76 and 97,403.76 is: 146,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,710.70 : 572,585.76 = 97,403.76 : x
  2. Step 2: Convert to fraction form
    381,710.70/572,585.76 = 97,403.76/x
  3. Step 3: Cross multiply
    381,710.70x = 572,585.76 × 97,403.76
  4. Step 4: Simplify right side
    381,710.70x = 55,772,005,946.46
  5. Step 5: Solve for x
    x = 55,772,005,946.46/381,710.70
  6. Step 6: Final answer
    x = 146,110.67

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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.