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Finding the Fourth Proportional to 507,848.47, 700,881 and 290,089.68

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Solution

The fourth proportional to 507,848.47, 700,881 and 290,089.68 is: 400,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,848.47 : 700,881 = 290,089.68 : x
  2. Step 2: Convert to fraction form
    507,848.47/700,881 = 290,089.68/x
  3. Step 3: Cross multiply
    507,848.47x = 700,881 × 290,089.68
  4. Step 4: Simplify right side
    507,848.47x = 203,318,345,008.08
  5. Step 5: Solve for x
    x = 203,318,345,008.08/507,848.47
  6. Step 6: Final answer
    x = 400,352.38

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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.