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Finding the Fourth Proportional to 600,442.82, 828,475.53 and 358,678.18

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Solution

The fourth proportional to 600,442.82, 828,475.53 and 358,678.18 is: 494,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,442.82 : 828,475.53 = 358,678.18 : x
  2. Step 2: Convert to fraction form
    600,442.82/828,475.53 = 358,678.18/x
  3. Step 3: Cross multiply
    600,442.82x = 828,475.53 × 358,678.18
  4. Step 4: Simplify right side
    600,442.82x = 297,156,095,274.94
  5. Step 5: Solve for x
    x = 297,156,095,274.94/600,442.82
  6. Step 6: Final answer
    x = 494,894.91

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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.