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Finding the Fourth Proportional to 338,533.52, 507,802.10 and 101,874.60

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Solution

The fourth proportional to 338,533.52, 507,802.10 and 101,874.60 is: 152,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,533.52 : 507,802.10 = 101,874.60 : x
  2. Step 2: Convert to fraction form
    338,533.52/507,802.10 = 101,874.60/x
  3. Step 3: Cross multiply
    338,533.52x = 507,802.10 × 101,874.60
  4. Step 4: Simplify right side
    338,533.52x = 51,732,135,307.29
  5. Step 5: Solve for x
    x = 51,732,135,307.29/338,533.52
  6. Step 6: Final answer
    x = 152,812.45

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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.