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Finding the Fourth Proportional to 528,047.60, 728,233.08 and 414,673.52

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Solution

The fourth proportional to 528,047.60, 728,233.08 and 414,673.52 is: 571,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,047.60 : 728,233.08 = 414,673.52 : x
  2. Step 2: Convert to fraction form
    528,047.60/728,233.08 = 414,673.52/x
  3. Step 3: Cross multiply
    528,047.60x = 728,233.08 × 414,673.52
  4. Step 4: Simplify right side
    528,047.60x = 301,978,974,664.04
  5. Step 5: Solve for x
    x = 301,978,974,664.04/528,047.60
  6. Step 6: Final answer
    x = 571,878.32

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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.