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Finding the Fourth Proportional to 286,705.42, 395,663.62 and 157,653.72

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Solution

The fourth proportional to 286,705.42, 395,663.62 and 157,653.72 is: 217,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,705.42 : 395,663.62 = 157,653.72 : x
  2. Step 2: Convert to fraction form
    286,705.42/395,663.62 = 157,653.72/x
  3. Step 3: Cross multiply
    286,705.42x = 395,663.62 × 157,653.72
  4. Step 4: Simplify right side
    286,705.42x = 62,377,841,561.67
  5. Step 5: Solve for x
    x = 62,377,841,561.67/286,705.42
  6. Step 6: Final answer
    x = 217,567.71

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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.