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Finding the Fourth Proportional to 497,277.63, 745,810.74 and 142,196.31

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Solution

The fourth proportional to 497,277.63, 745,810.74 and 142,196.31 is: 213,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,277.63 : 745,810.74 = 142,196.31 : x
  2. Step 2: Convert to fraction form
    497,277.63/745,810.74 = 142,196.31/x
  3. Step 3: Cross multiply
    497,277.63x = 745,810.74 × 142,196.31
  4. Step 4: Simplify right side
    497,277.63x = 106,051,535,186.37
  5. Step 5: Solve for x
    x = 106,051,535,186.37/497,277.63
  6. Step 6: Final answer
    x = 213,264.24

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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.