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Finding the Fourth Proportional to 820,352, 1,132,085.76 and 443,520

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Solution

The fourth proportional to 820,352, 1,132,085.76 and 443,520 is: 612,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,352 : 1,132,085.76 = 443,520 : x
  2. Step 2: Convert to fraction form
    820,352/1,132,085.76 = 443,520/x
  3. Step 3: Cross multiply
    820,352x = 1,132,085.76 × 443,520
  4. Step 4: Simplify right side
    820,352x = 502,102,676,275.20
  5. Step 5: Solve for x
    x = 502,102,676,275.20/820,352
  6. Step 6: Final answer
    x = 612,057.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.