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Finding the Fourth Proportional to 292,011.64, 402,970.74 and 164,687.32

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Solution

The fourth proportional to 292,011.64, 402,970.74 and 164,687.32 is: 227,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,011.64 : 402,970.74 = 164,687.32 : x
  2. Step 2: Convert to fraction form
    292,011.64/402,970.74 = 164,687.32/x
  3. Step 3: Cross multiply
    292,011.64x = 402,970.74 × 164,687.32
  4. Step 4: Simplify right side
    292,011.64x = 66,364,171,209.02
  5. Step 5: Solve for x
    x = 66,364,171,209.02/292,011.64
  6. Step 6: Final answer
    x = 227,265.50

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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.