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Finding the Fourth Proportional to 847,448, 1,169,479.32 and 465,482.24

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Solution

The fourth proportional to 847,448, 1,169,479.32 and 465,482.24 is: 642,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,448 : 1,169,479.32 = 465,482.24 : x
  2. Step 2: Convert to fraction form
    847,448/1,169,479.32 = 465,482.24/x
  3. Step 3: Cross multiply
    847,448x = 1,169,479.32 × 465,482.24
  4. Step 4: Simplify right side
    847,448x = 544,371,853,507.28
  5. Step 5: Solve for x
    x = 544,371,853,507.28/847,448
  6. Step 6: Final answer
    x = 642,366.08

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Why These Related Problems?

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