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Finding the Fourth Proportional to 468,398.16, 646,402 and 284,574.16

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Solution

The fourth proportional to 468,398.16, 646,402 and 284,574.16 is: 392,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,398.16 : 646,402 = 284,574.16 : x
  2. Step 2: Convert to fraction form
    468,398.16/646,402 = 284,574.16/x
  3. Step 3: Cross multiply
    468,398.16x = 646,402 × 284,574.16
  4. Step 4: Simplify right side
    468,398.16x = 183,949,306,172.32
  5. Step 5: Solve for x
    x = 183,949,306,172.32/468,398.16
  6. Step 6: Final answer
    x = 392,719.96

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1.5x scale

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.