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Finding the Fourth Proportional to 977,102.60, 1,465,653.90 and 416,193.80

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Solution

The fourth proportional to 977,102.60, 1,465,653.90 and 416,193.80 is: 624,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,102.60 : 1,465,653.90 = 416,193.80 : x
  2. Step 2: Convert to fraction form
    977,102.60/1,465,653.90 = 416,193.80/x
  3. Step 3: Cross multiply
    977,102.60x = 1,465,653.90 × 416,193.80
  4. Step 4: Simplify right side
    977,102.60x = 609,996,066,125.82
  5. Step 5: Solve for x
    x = 609,996,066,125.82/977,102.60
  6. Step 6: Final answer
    x = 624,290.70

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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.