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Finding the Fourth Proportional to 517,486.66, 714,064.00 and 288,053.61

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Solution

The fourth proportional to 517,486.66, 714,064.00 and 288,053.61 is: 397,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,486.66 : 714,064.00 = 288,053.61 : x
  2. Step 2: Convert to fraction form
    517,486.66/714,064.00 = 288,053.61/x
  3. Step 3: Cross multiply
    517,486.66x = 714,064.00 × 288,053.61
  4. Step 4: Simplify right side
    517,486.66x = 205,688,716,140.32
  5. Step 5: Solve for x
    x = 205,688,716,140.32/517,486.66
  6. Step 6: Final answer
    x = 397,476.37

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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.