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Finding the Fourth Proportional to 472,308.48, 705,332.16 and 415,077.12

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Solution

The fourth proportional to 472,308.48, 705,332.16 and 415,077.12 is: 619,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,308.48 : 705,332.16 = 415,077.12 : x
  2. Step 2: Convert to fraction form
    472,308.48/705,332.16 = 415,077.12/x
  3. Step 3: Cross multiply
    472,308.48x = 705,332.16 × 415,077.12
  4. Step 4: Simplify right side
    472,308.48x = 292,767,241,616.18
  5. Step 5: Solve for x
    x = 292,767,241,616.18/472,308.48
  6. Step 6: Final answer
    x = 619,864.46

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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.