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Finding the Fourth Proportional to 472,084.54, 651,458.37 and 257,226.22

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Solution

The fourth proportional to 472,084.54, 651,458.37 and 257,226.22 is: 354,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,084.54 : 651,458.37 = 257,226.22 : x
  2. Step 2: Convert to fraction form
    472,084.54/651,458.37 = 257,226.22/x
  3. Step 3: Cross multiply
    472,084.54x = 651,458.37 × 257,226.22
  4. Step 4: Simplify right side
    472,084.54x = 167,572,174,002.46
  5. Step 5: Solve for x
    x = 167,572,174,002.46/472,084.54
  6. Step 6: Final answer
    x = 354,962.22

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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.