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Finding the Fourth Proportional to 584,278, 806,303.70 and 316,006

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Solution

The fourth proportional to 584,278, 806,303.70 and 316,006 is: 436,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,278 : 806,303.70 = 316,006 : x
  2. Step 2: Convert to fraction form
    584,278/806,303.70 = 316,006/x
  3. Step 3: Cross multiply
    584,278x = 806,303.70 × 316,006
  4. Step 4: Simplify right side
    584,278x = 254,796,807,022.20
  5. Step 5: Solve for x
    x = 254,796,807,022.20/584,278
  6. Step 6: Final answer
    x = 436,088.31

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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.