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Finding the Fourth Proportional to 493,152.30, 739,728.45 and 282,617.10

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Solution

The fourth proportional to 493,152.30, 739,728.45 and 282,617.10 is: 423,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,152.30 : 739,728.45 = 282,617.10 : x
  2. Step 2: Convert to fraction form
    493,152.30/739,728.45 = 282,617.10/x
  3. Step 3: Cross multiply
    493,152.30x = 739,728.45 × 282,617.10
  4. Step 4: Simplify right side
    493,152.30x = 209,059,909,326.50
  5. Step 5: Solve for x
    x = 209,059,909,326.50/493,152.30
  6. Step 6: Final answer
    x = 423,925.65

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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.