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Finding the Fourth Proportional to 528,048.10, 728,704.92 and 286,329.93

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Solution

The fourth proportional to 528,048.10, 728,704.92 and 286,329.93 is: 395,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,048.10 : 728,704.92 = 286,329.93 : x
  2. Step 2: Convert to fraction form
    528,048.10/728,704.92 = 286,329.93/x
  3. Step 3: Cross multiply
    528,048.10x = 728,704.92 × 286,329.93
  4. Step 4: Simplify right side
    528,048.10x = 208,650,028,734.26
  5. Step 5: Solve for x
    x = 208,650,028,734.26/528,048.10
  6. Step 6: Final answer
    x = 395,134.51

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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.