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Finding the Fourth Proportional to 302,735.36, 417,710.88 and 175,403.20

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Solution

The fourth proportional to 302,735.36, 417,710.88 and 175,403.20 is: 242,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,735.36 : 417,710.88 = 175,403.20 : x
  2. Step 2: Convert to fraction form
    302,735.36/417,710.88 = 175,403.20/x
  3. Step 3: Cross multiply
    302,735.36x = 417,710.88 × 175,403.20
  4. Step 4: Simplify right side
    302,735.36x = 73,267,825,026.82
  5. Step 5: Solve for x
    x = 73,267,825,026.82/302,735.36
  6. Step 6: Final answer
    x = 242,019.38

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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.