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Finding the Fourth Proportional to 511,746.95, 766,023.03 and 376,962.98

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Solution

The fourth proportional to 511,746.95, 766,023.03 and 376,962.98 is: 564,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,746.95 : 766,023.03 = 376,962.98 : x
  2. Step 2: Convert to fraction form
    511,746.95/766,023.03 = 376,962.98/x
  3. Step 3: Cross multiply
    511,746.95x = 766,023.03 × 376,962.98
  4. Step 4: Simplify right side
    511,746.95x = 288,762,320,307.31
  5. Step 5: Solve for x
    x = 288,762,320,307.31/511,746.95
  6. Step 6: Final answer
    x = 564,267.80

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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.