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Finding the Fourth Proportional to 709,826, 1,064,214.12 and 429,280.88

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Solution

The fourth proportional to 709,826, 1,064,214.12 and 429,280.88 is: 643,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,826 : 1,064,214.12 = 429,280.88 : x
  2. Step 2: Convert to fraction form
    709,826/1,064,214.12 = 429,280.88/x
  3. Step 3: Cross multiply
    709,826x = 1,064,214.12 × 429,280.88
  4. Step 4: Simplify right side
    709,826x = 456,846,773,942.03
  5. Step 5: Solve for x
    x = 456,846,773,942.03/709,826
  6. Step 6: Final answer
    x = 643,603.89

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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.