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Finding the Fourth Proportional to 756,700.32, 1,044,253.71 and 417,180.72

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Solution

The fourth proportional to 756,700.32, 1,044,253.71 and 417,180.72 is: 575,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,700.32 : 1,044,253.71 = 417,180.72 : x
  2. Step 2: Convert to fraction form
    756,700.32/1,044,253.71 = 417,180.72/x
  3. Step 3: Cross multiply
    756,700.32x = 1,044,253.71 × 417,180.72
  4. Step 4: Simplify right side
    756,700.32x = 435,642,514,600.47
  5. Step 5: Solve for x
    x = 435,642,514,600.47/756,700.32
  6. Step 6: Final answer
    x = 575,713.40

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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.