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Finding the Fourth Proportional to 601,253.76, 829,879.92 and 346,758.24

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Solution

The fourth proportional to 601,253.76, 829,879.92 and 346,758.24 is: 478,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,253.76 : 829,879.92 = 346,758.24 : x
  2. Step 2: Convert to fraction form
    601,253.76/829,879.92 = 346,758.24/x
  3. Step 3: Cross multiply
    601,253.76x = 829,879.92 × 346,758.24
  4. Step 4: Simplify right side
    601,253.76x = 287,767,700,470.54
  5. Step 5: Solve for x
    x = 287,767,700,470.54/601,253.76
  6. Step 6: Final answer
    x = 478,612.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.