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Finding the Fourth Proportional to 310,653.50, 465,232.88 and 177,128.93

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Solution

The fourth proportional to 310,653.50, 465,232.88 and 177,128.93 is: 265,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,653.50 : 465,232.88 = 177,128.93 : x
  2. Step 2: Convert to fraction form
    310,653.50/465,232.88 = 177,128.93/x
  3. Step 3: Cross multiply
    310,653.50x = 465,232.88 × 177,128.93
  4. Step 4: Simplify right side
    310,653.50x = 82,406,203,841.12
  5. Step 5: Solve for x
    x = 82,406,203,841.12/310,653.50
  6. Step 6: Final answer
    x = 265,267.27

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1.5x scale

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.