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Finding the Fourth Proportional to 506,616.34, 699,016.08 and 302,627.34

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Solution

The fourth proportional to 506,616.34, 699,016.08 and 302,627.34 is: 417,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,616.34 : 699,016.08 = 302,627.34 : x
  2. Step 2: Convert to fraction form
    506,616.34/699,016.08 = 302,627.34/x
  3. Step 3: Cross multiply
    506,616.34x = 699,016.08 × 302,627.34
  4. Step 4: Simplify right side
    506,616.34x = 211,541,376,907.63
  5. Step 5: Solve for x
    x = 211,541,376,907.63/506,616.34
  6. Step 6: Final answer
    x = 417,557.35

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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.