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Finding the Fourth Proportional to 525,547.33, 725,255.13 and 283,829.95

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Solution

The fourth proportional to 525,547.33, 725,255.13 and 283,829.95 is: 391,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,547.33 : 725,255.13 = 283,829.95 : x
  2. Step 2: Convert to fraction form
    525,547.33/725,255.13 = 283,829.95/x
  3. Step 3: Cross multiply
    525,547.33x = 725,255.13 × 283,829.95
  4. Step 4: Simplify right side
    525,547.33x = 205,849,127,285.14
  5. Step 5: Solve for x
    x = 205,849,127,285.14/525,547.33
  6. Step 6: Final answer
    x = 391,685.23

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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.