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Finding the Fourth Proportional to 545,291.84, 817,810.59 and 208,208.72

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Solution

The fourth proportional to 545,291.84, 817,810.59 and 208,208.72 is: 312,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,291.84 : 817,810.59 = 208,208.72 : x
  2. Step 2: Convert to fraction form
    545,291.84/817,810.59 = 208,208.72/x
  3. Step 3: Cross multiply
    545,291.84x = 817,810.59 × 208,208.72
  4. Step 4: Simplify right side
    545,291.84x = 170,275,296,146.35
  5. Step 5: Solve for x
    x = 170,275,296,146.35/545,291.84
  6. Step 6: Final answer
    x = 312,264.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.