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Finding the Fourth Proportional to 457,592.88, 685,981.08 and 232,827.60

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Solution

The fourth proportional to 457,592.88, 685,981.08 and 232,827.60 is: 349,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,592.88 : 685,981.08 = 232,827.60 : x
  2. Step 2: Convert to fraction form
    457,592.88/685,981.08 = 232,827.60/x
  3. Step 3: Cross multiply
    457,592.88x = 685,981.08 × 232,827.60
  4. Step 4: Simplify right side
    457,592.88x = 159,715,328,501.81
  5. Step 5: Solve for x
    x = 159,715,328,501.81/457,592.88
  6. Step 6: Final answer
    x = 349,033.68

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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.