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Finding the Fourth Proportional to 614,009.56, 916,697.10 and 469,157.29

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Solution

The fourth proportional to 614,009.56, 916,697.10 and 469,157.29 is: 700,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,009.56 : 916,697.10 = 469,157.29 : x
  2. Step 2: Convert to fraction form
    614,009.56/916,697.10 = 469,157.29/x
  3. Step 3: Cross multiply
    614,009.56x = 916,697.10 × 469,157.29
  4. Step 4: Simplify right side
    614,009.56x = 430,075,127,186.86
  5. Step 5: Solve for x
    x = 430,075,127,186.86/614,009.56
  6. Step 6: Final answer
    x = 700,437.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.