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Finding the Fourth Proportional to 515,648.59, 711,602.63 and 286,220.64

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Solution

The fourth proportional to 515,648.59, 711,602.63 and 286,220.64 is: 394,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,648.59 : 711,602.63 = 286,220.64 : x
  2. Step 2: Convert to fraction form
    515,648.59/711,602.63 = 286,220.64/x
  3. Step 3: Cross multiply
    515,648.59x = 711,602.63 × 286,220.64
  4. Step 4: Simplify right side
    515,648.59x = 203,675,360,184.28
  5. Step 5: Solve for x
    x = 203,675,360,184.28/515,648.59
  6. Step 6: Final answer
    x = 394,988.69

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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.