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Finding the Fourth Proportional to 472,316.08, 708,483.84 and 191,641.36

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Solution

The fourth proportional to 472,316.08, 708,483.84 and 191,641.36 is: 287,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,316.08 : 708,483.84 = 191,641.36 : x
  2. Step 2: Convert to fraction form
    472,316.08/708,483.84 = 191,641.36/x
  3. Step 3: Cross multiply
    472,316.08x = 708,483.84 × 191,641.36
  4. Step 4: Simplify right side
    472,316.08x = 135,774,806,635.62
  5. Step 5: Solve for x
    x = 135,774,806,635.62/472,316.08
  6. Step 6: Final answer
    x = 287,465.98

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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.