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Finding the Fourth Proportional to 614,437.60, 921,656.40 and 509,461.60

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Solution

The fourth proportional to 614,437.60, 921,656.40 and 509,461.60 is: 764,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,437.60 : 921,656.40 = 509,461.60 : x
  2. Step 2: Convert to fraction form
    614,437.60/921,656.40 = 509,461.60/x
  3. Step 3: Cross multiply
    614,437.60x = 921,656.40 × 509,461.60
  4. Step 4: Simplify right side
    614,437.60x = 469,548,544,194.24
  5. Step 5: Solve for x
    x = 469,548,544,194.24/614,437.60
  6. Step 6: Final answer
    x = 764,192.40

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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.