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Finding the Fourth Proportional to 472,084.86, 651,477.19 and 257,224.92

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Solution

The fourth proportional to 472,084.86, 651,477.19 and 257,224.92 is: 354,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,084.86 : 651,477.19 = 257,224.92 : x
  2. Step 2: Convert to fraction form
    472,084.86/651,477.19 = 257,224.92/x
  3. Step 3: Cross multiply
    472,084.86x = 651,477.19 × 257,224.92
  4. Step 4: Simplify right side
    472,084.86x = 167,576,169,044.17
  5. Step 5: Solve for x
    x = 167,576,169,044.17/472,084.86
  6. Step 6: Final answer
    x = 354,970.44

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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.