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Finding the Fourth Proportional to 315,534.84, 435,438.05 and 172,294.98

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Solution

The fourth proportional to 315,534.84, 435,438.05 and 172,294.98 is: 237,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,534.84 : 435,438.05 = 172,294.98 : x
  2. Step 2: Convert to fraction form
    315,534.84/435,438.05 = 172,294.98/x
  3. Step 3: Cross multiply
    315,534.84x = 435,438.05 × 172,294.98
  4. Step 4: Simplify right side
    315,534.84x = 75,023,789,254.51
  5. Step 5: Solve for x
    x = 75,023,789,254.51/315,534.84
  6. Step 6: Final answer
    x = 237,767.05

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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.