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Finding the Fourth Proportional to 452,445.29, 678,751.32 and 148,856.50

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Solution

The fourth proportional to 452,445.29, 678,751.32 and 148,856.50 is: 223,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,445.29 : 678,751.32 = 148,856.50 : x
  2. Step 2: Convert to fraction form
    452,445.29/678,751.32 = 148,856.50/x
  3. Step 3: Cross multiply
    452,445.29x = 678,751.32 × 148,856.50
  4. Step 4: Simplify right side
    452,445.29x = 101,036,542,471.82
  5. Step 5: Solve for x
    x = 101,036,542,471.82/452,445.29
  6. Step 6: Final answer
    x = 223,312.18

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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.