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Finding the Fourth Proportional to 349,664.80, 524,497.20 and 342,666.40

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Solution

The fourth proportional to 349,664.80, 524,497.20 and 342,666.40 is: 513,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,664.80 : 524,497.20 = 342,666.40 : x
  2. Step 2: Convert to fraction form
    349,664.80/524,497.20 = 342,666.40/x
  3. Step 3: Cross multiply
    349,664.80x = 524,497.20 × 342,666.40
  4. Step 4: Simplify right side
    349,664.80x = 179,727,567,334.08
  5. Step 5: Solve for x
    x = 179,727,567,334.08/349,664.80
  6. Step 6: Final answer
    x = 513,999.60

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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.