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Finding the Fourth Proportional to 431,547.10, 595,790.14 and 383,667.96

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Solution

The fourth proportional to 431,547.10, 595,790.14 and 383,667.96 is: 529,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,547.10 : 595,790.14 = 383,667.96 : x
  2. Step 2: Convert to fraction form
    431,547.10/595,790.14 = 383,667.96/x
  3. Step 3: Cross multiply
    431,547.10x = 595,790.14 × 383,667.96
  4. Step 4: Simplify right side
    431,547.10x = 228,585,587,601.91
  5. Step 5: Solve for x
    x = 228,585,587,601.91/431,547.10
  6. Step 6: Final answer
    x = 529,688.62

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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.