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Finding the Fourth Proportional to 514,571.28, 710,160.96 and 296,788.56

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Solution

The fourth proportional to 514,571.28, 710,160.96 and 296,788.56 is: 409,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,571.28 : 710,160.96 = 296,788.56 : x
  2. Step 2: Convert to fraction form
    514,571.28/710,160.96 = 296,788.56/x
  3. Step 3: Cross multiply
    514,571.28x = 710,160.96 × 296,788.56
  4. Step 4: Simplify right side
    514,571.28x = 210,767,648,686.62
  5. Step 5: Solve for x
    x = 210,767,648,686.62/514,571.28
  6. Step 6: Final answer
    x = 409,598.55

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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.