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Finding the Fourth Proportional to 369,616.91, 510,070.64 and 208,471.46

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Solution

The fourth proportional to 369,616.91, 510,070.64 and 208,471.46 is: 287,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,616.91 : 510,070.64 = 208,471.46 : x
  2. Step 2: Convert to fraction form
    369,616.91/510,070.64 = 208,471.46/x
  3. Step 3: Cross multiply
    369,616.91x = 510,070.64 × 208,471.46
  4. Step 4: Simplify right side
    369,616.91x = 106,335,167,431.22
  5. Step 5: Solve for x
    x = 106,335,167,431.22/369,616.91
  6. Step 6: Final answer
    x = 287,690.22

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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.