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Finding the Fourth Proportional to 827,516, 1,141,973.16 and 469,820

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Solution

The fourth proportional to 827,516, 1,141,973.16 and 469,820 is: 648,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,516 : 1,141,973.16 = 469,820 : x
  2. Step 2: Convert to fraction form
    827,516/1,141,973.16 = 469,820/x
  3. Step 3: Cross multiply
    827,516x = 1,141,973.16 × 469,820
  4. Step 4: Simplify right side
    827,516x = 536,521,830,031.20
  5. Step 5: Solve for x
    x = 536,521,830,031.20/827,516
  6. Step 6: Final answer
    x = 648,352.21

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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.