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Finding the Fourth Proportional to 369,642.96, 510,106.68 and 208,497.51

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Solution

The fourth proportional to 369,642.96, 510,106.68 and 208,497.51 is: 287,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,642.96 : 510,106.68 = 208,497.51 : x
  2. Step 2: Convert to fraction form
    369,642.96/510,106.68 = 208,497.51/x
  3. Step 3: Cross multiply
    369,642.96x = 510,106.68 × 208,497.51
  4. Step 4: Simplify right side
    369,642.96x = 106,355,972,614.37
  5. Step 5: Solve for x
    x = 106,355,972,614.37/369,642.96
  6. Step 6: Final answer
    x = 287,726.22

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1.5x scale

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.