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Finding the Fourth Proportional to 384,774.36, 577,278.16 and 185,038.08

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Solution

The fourth proportional to 384,774.36, 577,278.16 and 185,038.08 is: 277,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,774.36 : 577,278.16 = 185,038.08 : x
  2. Step 2: Convert to fraction form
    384,774.36/577,278.16 = 185,038.08/x
  3. Step 3: Cross multiply
    384,774.36x = 577,278.16 × 185,038.08
  4. Step 4: Simplify right side
    384,774.36x = 106,818,442,352.33
  5. Step 5: Solve for x
    x = 106,818,442,352.33/384,774.36
  6. Step 6: Final answer
    x = 277,613.20

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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.