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Finding the Fourth Proportional to 651,699.56, 977,702.34 and 202,397.24

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Solution

The fourth proportional to 651,699.56, 977,702.34 and 202,397.24 is: 303,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,699.56 : 977,702.34 = 202,397.24 : x
  2. Step 2: Convert to fraction form
    651,699.56/977,702.34 = 202,397.24/x
  3. Step 3: Cross multiply
    651,699.56x = 977,702.34 × 202,397.24
  4. Step 4: Simplify right side
    651,699.56x = 197,884,255,157.54
  5. Step 5: Solve for x
    x = 197,884,255,157.54/651,699.56
  6. Step 6: Final answer
    x = 303,643.38

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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.