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Finding the Fourth Proportional to 583,465.83, 875,530.71 and 465,884.34

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Solution

The fourth proportional to 583,465.83, 875,530.71 and 465,884.34 is: 699,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,465.83 : 875,530.71 = 465,884.34 : x
  2. Step 2: Convert to fraction form
    583,465.83/875,530.71 = 465,884.34/x
  3. Step 3: Cross multiply
    583,465.83x = 875,530.71 × 465,884.34
  4. Step 4: Simplify right side
    583,465.83x = 407,896,046,978.08
  5. Step 5: Solve for x
    x = 407,896,046,978.08/583,465.83
  6. Step 6: Final answer
    x = 699,091.58

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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.