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Finding the Fourth Proportional to 585,006.47, 877,509.70 and 141,774.47

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Solution

The fourth proportional to 585,006.47, 877,509.70 and 141,774.47 is: 212,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,006.47 : 877,509.70 = 141,774.47 : x
  2. Step 2: Convert to fraction form
    585,006.47/877,509.70 = 141,774.47/x
  3. Step 3: Cross multiply
    585,006.47x = 877,509.70 × 141,774.47
  4. Step 4: Simplify right side
    585,006.47x = 124,408,471,983.52
  5. Step 5: Solve for x
    x = 124,408,471,983.52/585,006.47
  6. Step 6: Final answer
    x = 212,661.70

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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.