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Finding the Fourth Proportional to 755,585, 1,042,707.30 and 416,052.44

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Solution

The fourth proportional to 755,585, 1,042,707.30 and 416,052.44 is: 574,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,585 : 1,042,707.30 = 416,052.44 : x
  2. Step 2: Convert to fraction form
    755,585/1,042,707.30 = 416,052.44/x
  3. Step 3: Cross multiply
    755,585x = 1,042,707.30 × 416,052.44
  4. Step 4: Simplify right side
    755,585x = 433,820,916,370.81
  5. Step 5: Solve for x
    x = 433,820,916,370.81/755,585
  6. Step 6: Final answer
    x = 574,152.37

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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.