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Finding the Fourth Proportional to 255,798.74, 353,225.13 and 160,469.30

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Solution

The fourth proportional to 255,798.74, 353,225.13 and 160,469.30 is: 221,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,798.74 : 353,225.13 = 160,469.30 : x
  2. Step 2: Convert to fraction form
    255,798.74/353,225.13 = 160,469.30/x
  3. Step 3: Cross multiply
    255,798.74x = 353,225.13 × 160,469.30
  4. Step 4: Simplify right side
    255,798.74x = 56,681,789,353.51
  5. Step 5: Solve for x
    x = 56,681,789,353.51/255,798.74
  6. Step 6: Final answer
    x = 221,587.45

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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.