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Finding the Fourth Proportional to 564,830, 847,595.16 and 328,284.08

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Solution

The fourth proportional to 564,830, 847,595.16 and 328,284.08 is: 492,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,830 : 847,595.16 = 328,284.08 : x
  2. Step 2: Convert to fraction form
    564,830/847,595.16 = 328,284.08/x
  3. Step 3: Cross multiply
    564,830x = 847,595.16 × 328,284.08
  4. Step 4: Simplify right side
    564,830x = 278,251,997,313.05
  5. Step 5: Solve for x
    x = 278,251,997,313.05/564,830
  6. Step 6: Final answer
    x = 492,629.64

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