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Finding the Fourth Proportional to 364,038.70, 546,058.05 and 153,913.90

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Solution

The fourth proportional to 364,038.70, 546,058.05 and 153,913.90 is: 230,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,038.70 : 546,058.05 = 153,913.90 : x
  2. Step 2: Convert to fraction form
    364,038.70/546,058.05 = 153,913.90/x
  3. Step 3: Cross multiply
    364,038.70x = 546,058.05 × 153,913.90
  4. Step 4: Simplify right side
    364,038.70x = 84,045,924,101.90
  5. Step 5: Solve for x
    x = 84,045,924,101.90/364,038.70
  6. Step 6: Final answer
    x = 230,870.85

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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.