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Finding the Fourth Proportional to 209,411.46, 314,113.14 and 59,652.72

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Solution

The fourth proportional to 209,411.46, 314,113.14 and 59,652.72 is: 89,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,411.46 : 314,113.14 = 59,652.72 : x
  2. Step 2: Convert to fraction form
    209,411.46/314,113.14 = 59,652.72/x
  3. Step 3: Cross multiply
    209,411.46x = 314,113.14 × 59,652.72
  4. Step 4: Simplify right side
    209,411.46x = 18,737,703,188.74
  5. Step 5: Solve for x
    x = 18,737,703,188.74/209,411.46
  6. Step 6: Final answer
    x = 89,477.93

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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.