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Finding the Fourth Proportional to 314,384.52, 471,635.10 and 104,024.28

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Solution

The fourth proportional to 314,384.52, 471,635.10 and 104,024.28 is: 156,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,384.52 : 471,635.10 = 104,024.28 : x
  2. Step 2: Convert to fraction form
    314,384.52/471,635.10 = 104,024.28/x
  3. Step 3: Cross multiply
    314,384.52x = 471,635.10 × 104,024.28
  4. Step 4: Simplify right side
    314,384.52x = 49,061,501,700.23
  5. Step 5: Solve for x
    x = 49,061,501,700.23/314,384.52
  6. Step 6: Final answer
    x = 156,055.72

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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.