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Finding the Fourth Proportional to 564,620.07, 846,751.63 and 185,478.51

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Solution

The fourth proportional to 564,620.07, 846,751.63 and 185,478.51 is: 278,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,620.07 : 846,751.63 = 185,478.51 : x
  2. Step 2: Convert to fraction form
    564,620.07/846,751.63 = 185,478.51/x
  3. Step 3: Cross multiply
    564,620.07x = 846,751.63 × 185,478.51
  4. Step 4: Simplify right side
    564,620.07x = 157,054,225,511.32
  5. Step 5: Solve for x
    x = 157,054,225,511.32/564,620.07
  6. Step 6: Final answer
    x = 278,159.13

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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.