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Finding the Fourth Proportional to 291,513.02, 402,277.47 and 164,200.46

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Solution

The fourth proportional to 291,513.02, 402,277.47 and 164,200.46 is: 226,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,513.02 : 402,277.47 = 164,200.46 : x
  2. Step 2: Convert to fraction form
    291,513.02/402,277.47 = 164,200.46/x
  3. Step 3: Cross multiply
    291,513.02x = 402,277.47 × 164,200.46
  4. Step 4: Simplify right side
    291,513.02x = 66,054,145,621.64
  5. Step 5: Solve for x
    x = 66,054,145,621.64/291,513.02
  6. Step 6: Final answer
    x = 226,590.72

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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.