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Finding the Fourth Proportional to 702,578.72, 1,053,866.46 and 542,886.82

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Solution

The fourth proportional to 702,578.72, 1,053,866.46 and 542,886.82 is: 814,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,578.72 : 1,053,866.46 = 542,886.82 : x
  2. Step 2: Convert to fraction form
    702,578.72/1,053,866.46 = 542,886.82/x
  3. Step 3: Cross multiply
    702,578.72x = 1,053,866.46 × 542,886.82
  4. Step 4: Simplify right side
    702,578.72x = 572,130,210,575.22
  5. Step 5: Solve for x
    x = 572,130,210,575.22/702,578.72
  6. Step 6: Final answer
    x = 814,328.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.