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Finding the Fourth Proportional to 384,806.40, 577,209.60 and 174,854.40

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Solution

The fourth proportional to 384,806.40, 577,209.60 and 174,854.40 is: 262,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,806.40 : 577,209.60 = 174,854.40 : x
  2. Step 2: Convert to fraction form
    384,806.40/577,209.60 = 174,854.40/x
  3. Step 3: Cross multiply
    384,806.40x = 577,209.60 × 174,854.40
  4. Step 4: Simplify right side
    384,806.40x = 100,927,638,282.24
  5. Step 5: Solve for x
    x = 100,927,638,282.24/384,806.40
  6. Step 6: Final answer
    x = 262,281.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.