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Finding the Fourth Proportional to 261,326.12, 360,784.64 and 164,612.88

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Solution

The fourth proportional to 261,326.12, 360,784.64 and 164,612.88 is: 227,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,326.12 : 360,784.64 = 164,612.88 : x
  2. Step 2: Convert to fraction form
    261,326.12/360,784.64 = 164,612.88/x
  3. Step 3: Cross multiply
    261,326.12x = 360,784.64 × 164,612.88
  4. Step 4: Simplify right side
    261,326.12x = 59,389,798,650.16
  5. Step 5: Solve for x
    x = 59,389,798,650.16/261,326.12
  6. Step 6: Final answer
    x = 227,263.16

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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.