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Finding the Fourth Proportional to 614,431.20, 921,646.80 and 509,368.80

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Solution

The fourth proportional to 614,431.20, 921,646.80 and 509,368.80 is: 764,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,431.20 : 921,646.80 = 509,368.80 : x
  2. Step 2: Convert to fraction form
    614,431.20/921,646.80 = 509,368.80/x
  3. Step 3: Cross multiply
    614,431.20x = 921,646.80 × 509,368.80
  4. Step 4: Simplify right side
    614,431.20x = 469,458,124,539.84
  5. Step 5: Solve for x
    x = 469,458,124,539.84/614,431.20
  6. Step 6: Final answer
    x = 764,053.20

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Similar ratio
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1.5x scale

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.