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Finding the Fourth Proportional to 822,397.76, 1,232,689.76 and 537,970.24

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Solution

The fourth proportional to 822,397.76, 1,232,689.76 and 537,970.24 is: 806,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,397.76 : 1,232,689.76 = 537,970.24 : x
  2. Step 2: Convert to fraction form
    822,397.76/1,232,689.76 = 537,970.24/x
  3. Step 3: Cross multiply
    822,397.76x = 1,232,689.76 × 537,970.24
  4. Step 4: Simplify right side
    822,397.76x = 663,150,406,032.74
  5. Step 5: Solve for x
    x = 663,150,406,032.74/822,397.76
  6. Step 6: Final answer
    x = 806,362.13

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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.