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Finding the Fourth Proportional to 473,668.98, 710,783.58 and 174,359.76

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Solution

The fourth proportional to 473,668.98, 710,783.58 and 174,359.76 is: 261,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,668.98 : 710,783.58 = 174,359.76 : x
  2. Step 2: Convert to fraction form
    473,668.98/710,783.58 = 174,359.76/x
  3. Step 3: Cross multiply
    473,668.98x = 710,783.58 × 174,359.76
  4. Step 4: Simplify right side
    473,668.98x = 123,932,054,420.74
  5. Step 5: Solve for x
    x = 123,932,054,420.74/473,668.98
  6. Step 6: Final answer
    x = 261,642.75

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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.