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Finding the Fourth Proportional to 583,273, 804,916.74 and 315,001

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Solution

The fourth proportional to 583,273, 804,916.74 and 315,001 is: 434,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,273 : 804,916.74 = 315,001 : x
  2. Step 2: Convert to fraction form
    583,273/804,916.74 = 315,001/x
  3. Step 3: Cross multiply
    583,273x = 804,916.74 × 315,001
  4. Step 4: Simplify right side
    583,273x = 253,549,578,016.74
  5. Step 5: Solve for x
    x = 253,549,578,016.74/583,273
  6. Step 6: Final answer
    x = 434,701.38

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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.