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Finding the Fourth Proportional to 517,512.06, 714,077.46 and 475,655.76

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Solution

The fourth proportional to 517,512.06, 714,077.46 and 475,655.76 is: 656,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,512.06 : 714,077.46 = 475,655.76 : x
  2. Step 2: Convert to fraction form
    517,512.06/714,077.46 = 475,655.76/x
  3. Step 3: Cross multiply
    517,512.06x = 714,077.46 × 475,655.76
  4. Step 4: Simplify right side
    517,512.06x = 339,655,056,935.17
  5. Step 5: Solve for x
    x = 339,655,056,935.17/517,512.06
  6. Step 6: Final answer
    x = 656,322.98

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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.