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Finding the Fourth Proportional to 538,097.04, 742,545.84 and 334,143.58

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Solution

The fourth proportional to 538,097.04, 742,545.84 and 334,143.58 is: 461,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,097.04 : 742,545.84 = 334,143.58 : x
  2. Step 2: Convert to fraction form
    538,097.04/742,545.84 = 334,143.58/x
  3. Step 3: Cross multiply
    538,097.04x = 742,545.84 × 334,143.58
  4. Step 4: Simplify right side
    538,097.04x = 248,116,921,578.98
  5. Step 5: Solve for x
    x = 248,116,921,578.98/538,097.04
  6. Step 6: Final answer
    x = 461,100.70

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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.