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Finding the Fourth Proportional to 602,482.08, 830,743.56 and 384,398.96

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Solution

The fourth proportional to 602,482.08, 830,743.56 and 384,398.96 is: 530,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,482.08 : 830,743.56 = 384,398.96 : x
  2. Step 2: Convert to fraction form
    602,482.08/830,743.56 = 384,398.96/x
  3. Step 3: Cross multiply
    602,482.08x = 830,743.56 × 384,398.96
  4. Step 4: Simplify right side
    602,482.08x = 319,336,960,490.70
  5. Step 5: Solve for x
    x = 319,336,960,490.70/602,482.08
  6. Step 6: Final answer
    x = 530,035.62

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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.