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Finding the Fourth Proportional to 386,415.40, 578,456.70 and 386,415.40

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Solution

The fourth proportional to 386,415.40, 578,456.70 and 386,415.40 is: 578,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,415.40 : 578,456.70 = 386,415.40 : x
  2. Step 2: Convert to fraction form
    386,415.40/578,456.70 = 386,415.40/x
  3. Step 3: Cross multiply
    386,415.40x = 578,456.70 × 386,415.40
  4. Step 4: Simplify right side
    386,415.40x = 223,524,577,113.18
  5. Step 5: Solve for x
    x = 223,524,577,113.18/386,415.40
  6. Step 6: Final answer
    x = 578,456.70

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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.