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Finding the Fourth Proportional to 519,542.40, 778,001.40 and 414,566.40

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Solution

The fourth proportional to 519,542.40, 778,001.40 and 414,566.40 is: 620,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,542.40 : 778,001.40 = 414,566.40 : x
  2. Step 2: Convert to fraction form
    519,542.40/778,001.40 = 414,566.40/x
  3. Step 3: Cross multiply
    519,542.40x = 778,001.40 × 414,566.40
  4. Step 4: Simplify right side
    519,542.40x = 322,533,239,592.96
  5. Step 5: Solve for x
    x = 322,533,239,592.96/519,542.40
  6. Step 6: Final answer
    x = 620,802.54

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1.5x scale

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.