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Finding the Fourth Proportional to 344,685.84, 517,182.53 and 176,117.42

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Solution

The fourth proportional to 344,685.84, 517,182.53 and 176,117.42 is: 264,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,685.84 : 517,182.53 = 176,117.42 : x
  2. Step 2: Convert to fraction form
    344,685.84/517,182.53 = 176,117.42/x
  3. Step 3: Cross multiply
    344,685.84x = 517,182.53 × 176,117.42
  4. Step 4: Simplify right side
    344,685.84x = 91,084,849,386.17
  5. Step 5: Solve for x
    x = 91,084,849,386.17/344,685.84
  6. Step 6: Final answer
    x = 264,254.69

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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.