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Finding the Fourth Proportional to 522,536.94, 783,937.14 and 148,559.94

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Solution

The fourth proportional to 522,536.94, 783,937.14 and 148,559.94 is: 222,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,536.94 : 783,937.14 = 148,559.94 : x
  2. Step 2: Convert to fraction form
    522,536.94/783,937.14 = 148,559.94/x
  3. Step 3: Cross multiply
    522,536.94x = 783,937.14 × 148,559.94
  4. Step 4: Simplify right side
    522,536.94x = 116,461,654,482.17
  5. Step 5: Solve for x
    x = 116,461,654,482.17/522,536.94
  6. Step 6: Final answer
    x = 222,877.36

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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.