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Finding the Fourth Proportional to 583,878.96, 875,429.64 and 209,853.36

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Solution

The fourth proportional to 583,878.96, 875,429.64 and 209,853.36 is: 314,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,878.96 : 875,429.64 = 209,853.36 : x
  2. Step 2: Convert to fraction form
    583,878.96/875,429.64 = 209,853.36/x
  3. Step 3: Cross multiply
    583,878.96x = 875,429.64 × 209,853.36
  4. Step 4: Simplify right side
    583,878.96x = 183,711,851,397.59
  5. Step 5: Solve for x
    x = 183,711,851,397.59/583,878.96
  6. Step 6: Final answer
    x = 314,640.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.