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Finding the Fourth Proportional to 336,232, 464,000.16 and 185,332.24

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Solution

The fourth proportional to 336,232, 464,000.16 and 185,332.24 is: 255,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,232 : 464,000.16 = 185,332.24 : x
  2. Step 2: Convert to fraction form
    336,232/464,000.16 = 185,332.24/x
  3. Step 3: Cross multiply
    336,232x = 464,000.16 × 185,332.24
  4. Step 4: Simplify right side
    336,232x = 85,994,189,013.16
  5. Step 5: Solve for x
    x = 85,994,189,013.16/336,232
  6. Step 6: Final answer
    x = 255,758.49

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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.