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Finding the Fourth Proportional to 875,166, 1,207,730.16 and 472,758

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Solution

The fourth proportional to 875,166, 1,207,730.16 and 472,758 is: 652,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,166 : 1,207,730.16 = 472,758 : x
  2. Step 2: Convert to fraction form
    875,166/1,207,730.16 = 472,758/x
  3. Step 3: Cross multiply
    875,166x = 1,207,730.16 × 472,758
  4. Step 4: Simplify right side
    875,166x = 570,964,094,981.28
  5. Step 5: Solve for x
    x = 570,964,094,981.28/875,166
  6. Step 6: Final answer
    x = 652,406.62

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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.