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Finding the Fourth Proportional to 506,707.06, 699,186.84 and 302,714.82

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Solution

The fourth proportional to 506,707.06, 699,186.84 and 302,714.82 is: 417,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,707.06 : 699,186.84 = 302,714.82 : x
  2. Step 2: Convert to fraction form
    506,707.06/699,186.84 = 302,714.82/x
  3. Step 3: Cross multiply
    506,707.06x = 699,186.84 × 302,714.82
  4. Step 4: Simplify right side
    506,707.06x = 211,654,218,416.97
  5. Step 5: Solve for x
    x = 211,654,218,416.97/506,707.06
  6. Step 6: Final answer
    x = 417,705.29

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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.