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Finding the Fourth Proportional to 768,000.20, 1,152,000.30 and 718,848.20

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Solution

The fourth proportional to 768,000.20, 1,152,000.30 and 718,848.20 is: 1,078,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,000.20 : 1,152,000.30 = 718,848.20 : x
  2. Step 2: Convert to fraction form
    768,000.20/1,152,000.30 = 718,848.20/x
  3. Step 3: Cross multiply
    768,000.20x = 1,152,000.30 × 718,848.20
  4. Step 4: Simplify right side
    768,000.20x = 828,113,342,054.46
  5. Step 5: Solve for x
    x = 828,113,342,054.46/768,000.20
  6. Step 6: Final answer
    x = 1,078,272.30

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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.