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Finding the Fourth Proportional to 543,521.84, 750,081.72 and 314,071.52

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Solution

The fourth proportional to 543,521.84, 750,081.72 and 314,071.52 is: 433,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,521.84 : 750,081.72 = 314,071.52 : x
  2. Step 2: Convert to fraction form
    543,521.84/750,081.72 = 314,071.52/x
  3. Step 3: Cross multiply
    543,521.84x = 750,081.72 × 314,071.52
  4. Step 4: Simplify right side
    543,521.84x = 235,579,305,924.61
  5. Step 5: Solve for x
    x = 235,579,305,924.61/543,521.84
  6. Step 6: Final answer
    x = 433,431.17

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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.