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Finding the Fourth Proportional to 319,670.61, 441,143.27 and 176,430.65

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Solution

The fourth proportional to 319,670.61, 441,143.27 and 176,430.65 is: 243,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,670.61 : 441,143.27 = 176,430.65 : x
  2. Step 2: Convert to fraction form
    319,670.61/441,143.27 = 176,430.65/x
  3. Step 3: Cross multiply
    319,670.61x = 441,143.27 × 176,430.65
  4. Step 4: Simplify right side
    319,670.61x = 77,831,194,089.93
  5. Step 5: Solve for x
    x = 77,831,194,089.93/319,670.61
  6. Step 6: Final answer
    x = 243,473.10

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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.