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Finding the Fourth Proportional to 563,151.56, 776,934.71 and 416,328.93

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Solution

The fourth proportional to 563,151.56, 776,934.71 and 416,328.93 is: 574,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,151.56 : 776,934.71 = 416,328.93 : x
  2. Step 2: Convert to fraction form
    563,151.56/776,934.71 = 416,328.93/x
  3. Step 3: Cross multiply
    563,151.56x = 776,934.71 × 416,328.93
  4. Step 4: Simplify right side
    563,151.56x = 323,460,394,412.52
  5. Step 5: Solve for x
    x = 323,460,394,412.52/563,151.56
  6. Step 6: Final answer
    x = 574,375.39

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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.