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Finding the Fourth Proportional to 404,773.14, 607,048.80 and 152,034.10

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Solution

The fourth proportional to 404,773.14, 607,048.80 and 152,034.10 is: 228,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,773.14 : 607,048.80 = 152,034.10 : x
  2. Step 2: Convert to fraction form
    404,773.14/607,048.80 = 152,034.10/x
  3. Step 3: Cross multiply
    404,773.14x = 607,048.80 × 152,034.10
  4. Step 4: Simplify right side
    404,773.14x = 92,292,117,964.08
  5. Step 5: Solve for x
    x = 92,292,117,964.08/404,773.14
  6. Step 6: Final answer
    x = 228,009.49

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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.