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Finding the Fourth Proportional to 357,565.18, 493,233.80 and 214,242.20

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Solution

The fourth proportional to 357,565.18, 493,233.80 and 214,242.20 is: 295,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,565.18 : 493,233.80 = 214,242.20 : x
  2. Step 2: Convert to fraction form
    357,565.18/493,233.80 = 214,242.20/x
  3. Step 3: Cross multiply
    357,565.18x = 493,233.80 × 214,242.20
  4. Step 4: Simplify right side
    357,565.18x = 105,671,494,426.36
  5. Step 5: Solve for x
    x = 105,671,494,426.36/357,565.18
  6. Step 6: Final answer
    x = 295,530.72

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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.