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Finding the Fourth Proportional to 319,055.84, 478,132.58 and 176,963.72

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Solution

The fourth proportional to 319,055.84, 478,132.58 and 176,963.72 is: 265,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,055.84 : 478,132.58 = 176,963.72 : x
  2. Step 2: Convert to fraction form
    319,055.84/478,132.58 = 176,963.72/x
  3. Step 3: Cross multiply
    319,055.84x = 478,132.58 × 176,963.72
  4. Step 4: Simplify right side
    319,055.84x = 84,612,118,061.74
  5. Step 5: Solve for x
    x = 84,612,118,061.74/319,055.84
  6. Step 6: Final answer
    x = 265,195.33

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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.