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Finding the Fourth Proportional to 369,614.72, 510,065.84 and 208,471.10

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Solution

The fourth proportional to 369,614.72, 510,065.84 and 208,471.10 is: 287,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,614.72 : 510,065.84 = 208,471.10 : x
  2. Step 2: Convert to fraction form
    369,614.72/510,065.84 = 208,471.10/x
  3. Step 3: Cross multiply
    369,614.72x = 510,065.84 × 208,471.10
  4. Step 4: Simplify right side
    369,614.72x = 106,333,986,737.22
  5. Step 5: Solve for x
    x = 106,333,986,737.22/369,614.72
  6. Step 6: Final answer
    x = 287,688.72

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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.