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Finding the Fourth Proportional to 319,051.71, 478,126.40 and 176,959.59

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Solution

The fourth proportional to 319,051.71, 478,126.40 and 176,959.59 is: 265,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,051.71 : 478,126.40 = 176,959.59 : x
  2. Step 2: Convert to fraction form
    319,051.71/478,126.40 = 176,959.59/x
  3. Step 3: Cross multiply
    319,051.71x = 478,126.40 × 176,959.59
  4. Step 4: Simplify right side
    319,051.71x = 84,609,049,034.40
  5. Step 5: Solve for x
    x = 84,609,049,034.40/319,051.71
  6. Step 6: Final answer
    x = 265,189.14

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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.