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Finding the Fourth Proportional to 572,046, 786,624.12 and 496,463.28

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Solution

The fourth proportional to 572,046, 786,624.12 and 496,463.28 is: 682,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,046 : 786,624.12 = 496,463.28 : x
  2. Step 2: Convert to fraction form
    572,046/786,624.12 = 496,463.28/x
  3. Step 3: Cross multiply
    572,046x = 786,624.12 × 496,463.28
  4. Step 4: Simplify right side
    572,046x = 390,529,990,742.31
  5. Step 5: Solve for x
    x = 390,529,990,742.31/572,046
  6. Step 6: Final answer
    x = 682,689.84

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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.