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Finding the Fourth Proportional to 334,534.50, 501,703.34 and 97,820.91

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Solution

The fourth proportional to 334,534.50, 501,703.34 and 97,820.91 is: 146,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,534.50 : 501,703.34 = 97,820.91 : x
  2. Step 2: Convert to fraction form
    334,534.50/501,703.34 = 97,820.91/x
  3. Step 3: Cross multiply
    334,534.50x = 501,703.34 × 97,820.91
  4. Step 4: Simplify right side
    334,534.50x = 49,077,076,779.73
  5. Step 5: Solve for x
    x = 49,077,076,779.73/334,534.50
  6. Step 6: Final answer
    x = 146,702.59

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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.