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Finding the Fourth Proportional to 556,089.41, 767,395.27 and 314,363.95

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Solution

The fourth proportional to 556,089.41, 767,395.27 and 314,363.95 is: 433,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,089.41 : 767,395.27 = 314,363.95 : x
  2. Step 2: Convert to fraction form
    556,089.41/767,395.27 = 314,363.95/x
  3. Step 3: Cross multiply
    556,089.41x = 767,395.27 × 314,363.95
  4. Step 4: Simplify right side
    556,089.41x = 241,241,408,288.52
  5. Step 5: Solve for x
    x = 241,241,408,288.52/556,089.41
  6. Step 6: Final answer
    x = 433,817.66

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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.