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Finding the Fourth Proportional to 583,981, 805,894.50 and 315,709

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Solution

The fourth proportional to 583,981, 805,894.50 and 315,709 is: 435,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,981 : 805,894.50 = 315,709 : x
  2. Step 2: Convert to fraction form
    583,981/805,894.50 = 315,709/x
  3. Step 3: Cross multiply
    583,981x = 805,894.50 × 315,709
  4. Step 4: Simplify right side
    583,981x = 254,428,146,700.50
  5. Step 5: Solve for x
    x = 254,428,146,700.50/583,981
  6. Step 6: Final answer
    x = 435,678.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.