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Finding the Fourth Proportional to 472,330.48, 705,364.96 and 415,099.12

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Solution

The fourth proportional to 472,330.48, 705,364.96 and 415,099.12 is: 619,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,330.48 : 705,364.96 = 415,099.12 : x
  2. Step 2: Convert to fraction form
    472,330.48/705,364.96 = 415,099.12/x
  3. Step 3: Cross multiply
    472,330.48x = 705,364.96 × 415,099.12
  4. Step 4: Simplify right side
    472,330.48x = 292,796,374,174.84
  5. Step 5: Solve for x
    x = 292,796,374,174.84/472,330.48
  6. Step 6: Final answer
    x = 619,897.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.