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Finding the Fourth Proportional to 462,998.30, 697,967.71 and 432,135.98

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Solution

The fourth proportional to 462,998.30, 697,967.71 and 432,135.98 is: 651,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,998.30 : 697,967.71 = 432,135.98 : x
  2. Step 2: Convert to fraction form
    462,998.30/697,967.71 = 432,135.98/x
  3. Step 3: Cross multiply
    462,998.30x = 697,967.71 × 432,135.98
  4. Step 4: Simplify right side
    462,998.30x = 301,616,954,718.69
  5. Step 5: Solve for x
    x = 301,616,954,718.69/462,998.30
  6. Step 6: Final answer
    x = 651,442.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.