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Finding the Fourth Proportional to 462,980.24, 697,940.48 and 432,117.90

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Solution

The fourth proportional to 462,980.24, 697,940.48 and 432,117.90 is: 651,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,980.24 : 697,940.48 = 432,117.90 : x
  2. Step 2: Convert to fraction form
    462,980.24/697,940.48 = 432,117.90/x
  3. Step 3: Cross multiply
    462,980.24x = 697,940.48 × 432,117.90
  4. Step 4: Simplify right side
    462,980.24x = 301,592,572,382.00
  5. Step 5: Solve for x
    x = 301,592,572,382.00/462,980.24
  6. Step 6: Final answer
    x = 651,415.65

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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.