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Finding the Fourth Proportional to 310,089.60, 465,128.96 and 176,685.36

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Solution

The fourth proportional to 310,089.60, 465,128.96 and 176,685.36 is: 265,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,089.60 : 465,128.96 = 176,685.36 : x
  2. Step 2: Convert to fraction form
    310,089.60/465,128.96 = 176,685.36/x
  3. Step 3: Cross multiply
    310,089.60x = 465,128.96 × 176,685.36
  4. Step 4: Simplify right side
    310,089.60x = 82,181,477,744.03
  5. Step 5: Solve for x
    x = 82,181,477,744.03/310,089.60
  6. Step 6: Final answer
    x = 265,024.94

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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.