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Finding the Fourth Proportional to 478,027.02, 716,597.64 and 162,262.53

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Solution

The fourth proportional to 478,027.02, 716,597.64 and 162,262.53 is: 243,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,027.02 : 716,597.64 = 162,262.53 : x
  2. Step 2: Convert to fraction form
    478,027.02/716,597.64 = 162,262.53/x
  3. Step 3: Cross multiply
    478,027.02x = 716,597.64 × 162,262.53
  4. Step 4: Simplify right side
    478,027.02x = 116,276,946,058.43
  5. Step 5: Solve for x
    x = 116,276,946,058.43/478,027.02
  6. Step 6: Final answer
    x = 243,243.46

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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.