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Finding the Fourth Proportional to 357,737.14, 493,657.23 and 214,425.46

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Solution

The fourth proportional to 357,737.14, 493,657.23 and 214,425.46 is: 295,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,737.14 : 493,657.23 = 214,425.46 : x
  2. Step 2: Convert to fraction form
    357,737.14/493,657.23 = 214,425.46/x
  3. Step 3: Cross multiply
    357,737.14x = 493,657.23 × 214,425.46
  4. Step 4: Simplify right side
    357,737.14x = 105,852,678,625.08
  5. Step 5: Solve for x
    x = 105,852,678,625.08/357,737.14
  6. Step 6: Final answer
    x = 295,895.13

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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.