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Finding the Fourth Proportional to 651,397.01, 977,048.57 and 202,106.30

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Solution

The fourth proportional to 651,397.01, 977,048.57 and 202,106.30 is: 303,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,397.01 : 977,048.57 = 202,106.30 : x
  2. Step 2: Convert to fraction form
    651,397.01/977,048.57 = 202,106.30/x
  3. Step 3: Cross multiply
    651,397.01x = 977,048.57 × 202,106.30
  4. Step 4: Simplify right side
    651,397.01x = 197,467,665,507.22
  5. Step 5: Solve for x
    x = 197,467,665,507.22/651,397.01
  6. Step 6: Final answer
    x = 303,144.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.