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Finding the Fourth Proportional to 317,541.64, 438,205.80 and 174,304.12

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Solution

The fourth proportional to 317,541.64, 438,205.80 and 174,304.12 is: 240,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,541.64 : 438,205.80 = 174,304.12 : x
  2. Step 2: Convert to fraction form
    317,541.64/438,205.80 = 174,304.12/x
  3. Step 3: Cross multiply
    317,541.64x = 438,205.80 × 174,304.12
  4. Step 4: Simplify right side
    317,541.64x = 76,381,076,347.90
  5. Step 5: Solve for x
    x = 76,381,076,347.90/317,541.64
  6. Step 6: Final answer
    x = 240,538.77

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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.