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Finding the Fourth Proportional to 506,706.06, 699,185.46 and 302,713.82

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Solution

The fourth proportional to 506,706.06, 699,185.46 and 302,713.82 is: 417,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,706.06 : 699,185.46 = 302,713.82 : x
  2. Step 2: Convert to fraction form
    506,706.06/699,185.46 = 302,713.82/x
  3. Step 3: Cross multiply
    506,706.06x = 699,185.46 × 302,713.82
  4. Step 4: Simplify right side
    506,706.06x = 211,653,097,989.13
  5. Step 5: Solve for x
    x = 211,653,097,989.13/506,706.06
  6. Step 6: Final answer
    x = 417,703.90

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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.