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Finding the Fourth Proportional to 385,323.30, 577,237.14 and 283,937.40

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Solution

The fourth proportional to 385,323.30, 577,237.14 and 283,937.40 is: 425,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,323.30 : 577,237.14 = 283,937.40 : x
  2. Step 2: Convert to fraction form
    385,323.30/577,237.14 = 283,937.40/x
  3. Step 3: Cross multiply
    385,323.30x = 577,237.14 × 283,937.40
  4. Step 4: Simplify right side
    385,323.30x = 163,899,212,715.04
  5. Step 5: Solve for x
    x = 163,899,212,715.04/385,323.30
  6. Step 6: Final answer
    x = 425,355.05

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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.