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Finding the Fourth Proportional to 384,937.60, 577,406.40 and 266,742.40

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Solution

The fourth proportional to 384,937.60, 577,406.40 and 266,742.40 is: 400,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,937.60 : 577,406.40 = 266,742.40 : x
  2. Step 2: Convert to fraction form
    384,937.60/577,406.40 = 266,742.40/x
  3. Step 3: Cross multiply
    384,937.60x = 577,406.40 × 266,742.40
  4. Step 4: Simplify right side
    384,937.60x = 154,018,768,911.36
  5. Step 5: Solve for x
    x = 154,018,768,911.36/384,937.60
  6. Step 6: Final answer
    x = 400,113.60

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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.