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Finding the Fourth Proportional to 468,032.30, 656,904.10 and 468,032.30

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Solution

The fourth proportional to 468,032.30, 656,904.10 and 468,032.30 is: 656,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032.30 : 656,904.10 = 468,032.30 : x
  2. Step 2: Convert to fraction form
    468,032.30/656,904.10 = 468,032.30/x
  3. Step 3: Cross multiply
    468,032.30x = 656,904.10 × 468,032.30
  4. Step 4: Simplify right side
    468,032.30x = 307,452,336,802.43
  5. Step 5: Solve for x
    x = 307,452,336,802.43/468,032.30
  6. Step 6: Final answer
    x = 656,904.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.