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Finding the Fourth Proportional to 762,994, 1,144,695.12 and 264,358

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Solution

The fourth proportional to 762,994, 1,144,695.12 and 264,358 is: 396,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,994 : 1,144,695.12 = 264,358 : x
  2. Step 2: Convert to fraction form
    762,994/1,144,695.12 = 264,358/x
  3. Step 3: Cross multiply
    762,994x = 1,144,695.12 × 264,358
  4. Step 4: Simplify right side
    762,994x = 302,609,312,532.96
  5. Step 5: Solve for x
    x = 302,609,312,532.96/762,994
  6. Step 6: Final answer
    x = 396,607.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.