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Finding the Fourth Proportional to 613,931.30, 921,021.96 and 258,946.64

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Solution

The fourth proportional to 613,931.30, 921,021.96 and 258,946.64 is: 388,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,931.30 : 921,021.96 = 258,946.64 : x
  2. Step 2: Convert to fraction form
    613,931.30/921,021.96 = 258,946.64/x
  3. Step 3: Cross multiply
    613,931.30x = 921,021.96 × 258,946.64
  4. Step 4: Simplify right side
    613,931.30x = 238,495,541,908.21
  5. Step 5: Solve for x
    x = 238,495,541,908.21/613,931.30
  6. Step 6: Final answer
    x = 388,472.69

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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.