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Finding the Fourth Proportional to 497,164.20, 745,746.30 and 497,164.20

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Solution

The fourth proportional to 497,164.20, 745,746.30 and 497,164.20 is: 745,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,164.20 : 745,746.30 = 497,164.20 : x
  2. Step 2: Convert to fraction form
    497,164.20/745,746.30 = 497,164.20/x
  3. Step 3: Cross multiply
    497,164.20x = 745,746.30 × 497,164.20
  4. Step 4: Simplify right side
    497,164.20x = 370,758,362,642.46
  5. Step 5: Solve for x
    x = 370,758,362,642.46/497,164.20
  6. Step 6: Final answer
    x = 745,746.30

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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.