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Finding the Fourth Proportional to 464,803.60, 697,205.40 and 433,310.80

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Solution

The fourth proportional to 464,803.60, 697,205.40 and 433,310.80 is: 649,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,803.60 : 697,205.40 = 433,310.80 : x
  2. Step 2: Convert to fraction form
    464,803.60/697,205.40 = 433,310.80/x
  3. Step 3: Cross multiply
    464,803.60x = 697,205.40 × 433,310.80
  4. Step 4: Simplify right side
    464,803.60x = 302,106,629,638.32
  5. Step 5: Solve for x
    x = 302,106,629,638.32/464,803.60
  6. Step 6: Final answer
    x = 649,966.20

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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.