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Finding the Fourth Proportional to 308,244.80, 462,275.04 and 160,420.16

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Solution

The fourth proportional to 308,244.80, 462,275.04 and 160,420.16 is: 240,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,244.80 : 462,275.04 = 160,420.16 : x
  2. Step 2: Convert to fraction form
    308,244.80/462,275.04 = 160,420.16/x
  3. Step 3: Cross multiply
    308,244.80x = 462,275.04 × 160,420.16
  4. Step 4: Simplify right side
    308,244.80x = 74,158,235,880.81
  5. Step 5: Solve for x
    x = 74,158,235,880.81/308,244.80
  6. Step 6: Final answer
    x = 240,582.28

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1.5x scale

Why These Related Problems?

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