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Finding the Fourth Proportional to 569,314.81, 785,654.67 and 314,666.02

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Solution

The fourth proportional to 569,314.81, 785,654.67 and 314,666.02 is: 434,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,314.81 : 785,654.67 = 314,666.02 : x
  2. Step 2: Convert to fraction form
    569,314.81/785,654.67 = 314,666.02/x
  3. Step 3: Cross multiply
    569,314.81x = 785,654.67 × 314,666.02
  4. Step 4: Simplify right side
    569,314.81x = 247,218,828,103.31
  5. Step 5: Solve for x
    x = 247,218,828,103.31/569,314.81
  6. Step 6: Final answer
    x = 434,239.24

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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.