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Finding the Fourth Proportional to 385,426.80, 577,967.40 and 174,956.40

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Solution

The fourth proportional to 385,426.80, 577,967.40 and 174,956.40 is: 262,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,426.80 : 577,967.40 = 174,956.40 : x
  2. Step 2: Convert to fraction form
    385,426.80/577,967.40 = 174,956.40/x
  3. Step 3: Cross multiply
    385,426.80x = 577,967.40 × 174,956.40
  4. Step 4: Simplify right side
    385,426.80x = 101,119,095,621.36
  5. Step 5: Solve for x
    x = 101,119,095,621.36/385,426.80
  6. Step 6: Final answer
    x = 262,356.16

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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.