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Finding the Fourth Proportional to 302,897.88, 417,999.42 and 175,647.42

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Solution

The fourth proportional to 302,897.88, 417,999.42 and 175,647.42 is: 242,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,897.88 : 417,999.42 = 175,647.42 : x
  2. Step 2: Convert to fraction form
    302,897.88/417,999.42 = 175,647.42/x
  3. Step 3: Cross multiply
    302,897.88x = 417,999.42 × 175,647.42
  4. Step 4: Simplify right side
    302,897.88x = 73,420,519,684.50
  5. Step 5: Solve for x
    x = 73,420,519,684.50/302,897.88
  6. Step 6: Final answer
    x = 242,393.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.