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Finding the Fourth Proportional to 456,580.80, 684,964.62 and 157,022.40

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Solution

The fourth proportional to 456,580.80, 684,964.62 and 157,022.40 is: 235,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,580.80 : 684,964.62 = 157,022.40 : x
  2. Step 2: Convert to fraction form
    456,580.80/684,964.62 = 157,022.40/x
  3. Step 3: Cross multiply
    456,580.80x = 684,964.62 × 157,022.40
  4. Step 4: Simplify right side
    456,580.80x = 107,554,788,547.49
  5. Step 5: Solve for x
    x = 107,554,788,547.49/456,580.80
  6. Step 6: Final answer
    x = 235,565.73

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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.