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Finding the Fourth Proportional to 517,904.94, 714,697.80 and 288,461.52

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Solution

The fourth proportional to 517,904.94, 714,697.80 and 288,461.52 is: 398,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,904.94 : 714,697.80 = 288,461.52 : x
  2. Step 2: Convert to fraction form
    517,904.94/714,697.80 = 288,461.52/x
  3. Step 3: Cross multiply
    517,904.94x = 714,697.80 × 288,461.52
  4. Step 4: Simplify right side
    517,904.94x = 206,162,813,728.66
  5. Step 5: Solve for x
    x = 206,162,813,728.66/517,904.94
  6. Step 6: Final answer
    x = 398,070.76

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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.