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Finding the Fourth Proportional to 523,547.75, 722,495.50 and 297,193.25

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Solution

The fourth proportional to 523,547.75, 722,495.50 and 297,193.25 is: 410,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,547.75 : 722,495.50 = 297,193.25 : x
  2. Step 2: Convert to fraction form
    523,547.75/722,495.50 = 297,193.25/x
  3. Step 3: Cross multiply
    523,547.75x = 722,495.50 × 297,193.25
  4. Step 4: Simplify right side
    523,547.75x = 214,720,786,818.63
  5. Step 5: Solve for x
    x = 214,720,786,818.63/523,547.75
  6. Step 6: Final answer
    x = 410,126.46

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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.