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Finding the Fourth Proportional to 514,648.32, 708,629.70 and 457,187.64

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Solution

The fourth proportional to 514,648.32, 708,629.70 and 457,187.64 is: 629,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,648.32 : 708,629.70 = 457,187.64 : x
  2. Step 2: Convert to fraction form
    514,648.32/708,629.70 = 457,187.64/x
  3. Step 3: Cross multiply
    514,648.32x = 708,629.70 × 457,187.64
  4. Step 4: Simplify right side
    514,648.32x = 323,976,740,176.91
  5. Step 5: Solve for x
    x = 323,976,740,176.91/514,648.32
  6. Step 6: Final answer
    x = 629,510.93

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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.