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Finding the Fourth Proportional to 432,678, 596,707.79 and 360,320.51

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Solution

The fourth proportional to 432,678, 596,707.79 and 360,320.51 is: 496,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,678 : 596,707.79 = 360,320.51 : x
  2. Step 2: Convert to fraction form
    432,678/596,707.79 = 360,320.51/x
  3. Step 3: Cross multiply
    432,678x = 596,707.79 × 360,320.51
  4. Step 4: Simplify right side
    432,678x = 215,006,050,428.63
  5. Step 5: Solve for x
    x = 215,006,050,428.63/432,678
  6. Step 6: Final answer
    x = 496,919.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.