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Finding the Fourth Proportional to 272,023.65, 407,543.40 and 232,657.65

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Solution

The fourth proportional to 272,023.65, 407,543.40 and 232,657.65 is: 348,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,023.65 : 407,543.40 = 232,657.65 : x
  2. Step 2: Convert to fraction form
    272,023.65/407,543.40 = 232,657.65/x
  3. Step 3: Cross multiply
    272,023.65x = 407,543.40 × 232,657.65
  4. Step 4: Simplify right side
    272,023.65x = 94,818,089,717.01
  5. Step 5: Solve for x
    x = 94,818,089,717.01/272,023.65
  6. Step 6: Final answer
    x = 348,565.61

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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.