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Finding the Fourth Proportional to 723,106.89, 997,935.54 and 400,830.57

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Solution

The fourth proportional to 723,106.89, 997,935.54 and 400,830.57 is: 553,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,106.89 : 997,935.54 = 400,830.57 : x
  2. Step 2: Convert to fraction form
    723,106.89/997,935.54 = 400,830.57/x
  3. Step 3: Cross multiply
    723,106.89x = 997,935.54 × 400,830.57
  4. Step 4: Simplify right side
    723,106.89x = 400,003,071,321.46
  5. Step 5: Solve for x
    x = 400,003,071,321.46/723,106.89
  6. Step 6: Final answer
    x = 553,172.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.