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Finding the Fourth Proportional to 385,454.36, 578,137.74 and 148,776.68

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Solution

The fourth proportional to 385,454.36, 578,137.74 and 148,776.68 is: 223,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,454.36 : 578,137.74 = 148,776.68 : x
  2. Step 2: Convert to fraction form
    385,454.36/578,137.74 = 148,776.68/x
  3. Step 3: Cross multiply
    385,454.36x = 578,137.74 × 148,776.68
  4. Step 4: Simplify right side
    385,454.36x = 86,013,413,539.90
  5. Step 5: Solve for x
    x = 86,013,413,539.90/385,454.36
  6. Step 6: Final answer
    x = 223,148.11

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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.