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Finding the Fourth Proportional to 385,254.40, 577,492.80 and 175,043.20

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Solution

The fourth proportional to 385,254.40, 577,492.80 and 175,043.20 is: 262,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,254.40 : 577,492.80 = 175,043.20 : x
  2. Step 2: Convert to fraction form
    385,254.40/577,492.80 = 175,043.20/x
  3. Step 3: Cross multiply
    385,254.40x = 577,492.80 × 175,043.20
  4. Step 4: Simplify right side
    385,254.40x = 101,086,187,688.96
  5. Step 5: Solve for x
    x = 101,086,187,688.96/385,254.40
  6. Step 6: Final answer
    x = 262,388.15

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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.