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Finding the Fourth Proportional to 501,642.99, 692,041.27 and 297,702.51

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Solution

The fourth proportional to 501,642.99, 692,041.27 and 297,702.51 is: 410,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,642.99 : 692,041.27 = 297,702.51 : x
  2. Step 2: Convert to fraction form
    501,642.99/692,041.27 = 297,702.51/x
  3. Step 3: Cross multiply
    501,642.99x = 692,041.27 × 297,702.51
  4. Step 4: Simplify right side
    501,642.99x = 206,022,423,102.59
  5. Step 5: Solve for x
    x = 206,022,423,102.59/501,642.99
  6. Step 6: Final answer
    x = 410,695.31

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Why These Related Problems?

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