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Finding the Fourth Proportional to 642,643.20, 963,043.20 and 472,838.40

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Solution

The fourth proportional to 642,643.20, 963,043.20 and 472,838.40 is: 708,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,643.20 : 963,043.20 = 472,838.40 : x
  2. Step 2: Convert to fraction form
    642,643.20/963,043.20 = 472,838.40/x
  3. Step 3: Cross multiply
    642,643.20x = 963,043.20 × 472,838.40
  4. Step 4: Simplify right side
    642,643.20x = 455,363,805,818.88
  5. Step 5: Solve for x
    x = 455,363,805,818.88/642,643.20
  6. Step 6: Final answer
    x = 708,579.51

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