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Finding the Fourth Proportional to 369,646.29, 510,014.93 and 216,602.31

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Solution

The fourth proportional to 369,646.29, 510,014.93 and 216,602.31 is: 298,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,646.29 : 510,014.93 = 216,602.31 : x
  2. Step 2: Convert to fraction form
    369,646.29/510,014.93 = 216,602.31/x
  3. Step 3: Cross multiply
    369,646.29x = 510,014.93 × 216,602.31
  4. Step 4: Simplify right side
    369,646.29x = 110,470,412,513.99
  5. Step 5: Solve for x
    x = 110,470,412,513.99/369,646.29
  6. Step 6: Final answer
    x = 298,854.38

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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.