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Finding the Fourth Proportional to 524,022.60, 786,033.90 and 364,590.30

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Solution

The fourth proportional to 524,022.60, 786,033.90 and 364,590.30 is: 546,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,022.60 : 786,033.90 = 364,590.30 : x
  2. Step 2: Convert to fraction form
    524,022.60/786,033.90 = 364,590.30/x
  3. Step 3: Cross multiply
    524,022.60x = 786,033.90 × 364,590.30
  4. Step 4: Simplify right side
    524,022.60x = 286,580,335,411.17
  5. Step 5: Solve for x
    x = 286,580,335,411.17/524,022.60
  6. Step 6: Final answer
    x = 546,885.45

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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.