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Finding the Fourth Proportional to 364,762.08, 547,335.76 and 258,830.54

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Solution

The fourth proportional to 364,762.08, 547,335.76 and 258,830.54 is: 388,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,762.08 : 547,335.76 = 258,830.54 : x
  2. Step 2: Convert to fraction form
    364,762.08/547,335.76 = 258,830.54/x
  3. Step 3: Cross multiply
    364,762.08x = 547,335.76 × 258,830.54
  4. Step 4: Simplify right side
    364,762.08x = 141,667,210,322.11
  5. Step 5: Solve for x
    x = 141,667,210,322.11/364,762.08
  6. Step 6: Final answer
    x = 388,382.50

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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.