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Finding the Fourth Proportional to 977,124.80, 1,465,492.80 and 471,684.80

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Solution

The fourth proportional to 977,124.80, 1,465,492.80 and 471,684.80 is: 707,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,124.80 : 1,465,492.80 = 471,684.80 : x
  2. Step 2: Convert to fraction form
    977,124.80/1,465,492.80 = 471,684.80/x
  3. Step 3: Cross multiply
    977,124.80x = 1,465,492.80 × 471,684.80
  4. Step 4: Simplify right side
    977,124.80x = 691,250,678,269.44
  5. Step 5: Solve for x
    x = 691,250,678,269.44/977,124.80
  6. Step 6: Final answer
    x = 707,433.36

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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.