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Finding the Fourth Proportional to 583,598.95, 805,428.47 and 342,084.44

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Solution

The fourth proportional to 583,598.95, 805,428.47 and 342,084.44 is: 472,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,598.95 : 805,428.47 = 342,084.44 : x
  2. Step 2: Convert to fraction form
    583,598.95/805,428.47 = 342,084.44/x
  3. Step 3: Cross multiply
    583,598.95x = 805,428.47 × 342,084.44
  4. Step 4: Simplify right side
    583,598.95x = 275,524,547,120.01
  5. Step 5: Solve for x
    x = 275,524,547,120.01/583,598.95
  6. Step 6: Final answer
    x = 472,112.82

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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.