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Finding the Fourth Proportional to 470,034.16, 705,278.42 and 292,495.12

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Solution

The fourth proportional to 470,034.16, 705,278.42 and 292,495.12 is: 438,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,034.16 : 705,278.42 = 292,495.12 : x
  2. Step 2: Convert to fraction form
    470,034.16/705,278.42 = 292,495.12/x
  3. Step 3: Cross multiply
    470,034.16x = 705,278.42 × 292,495.12
  4. Step 4: Simplify right side
    470,034.16x = 206,290,496,091.31
  5. Step 5: Solve for x
    x = 206,290,496,091.31/470,034.16
  6. Step 6: Final answer
    x = 438,884.05

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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.