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Finding the Fourth Proportional to 584,009.75, 805,933.64 and 315,737.75

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Solution

The fourth proportional to 584,009.75, 805,933.64 and 315,737.75 is: 435,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,009.75 : 805,933.64 = 315,737.75 : x
  2. Step 2: Convert to fraction form
    584,009.75/805,933.64 = 315,737.75/x
  3. Step 3: Cross multiply
    584,009.75x = 805,933.64 × 315,737.75
  4. Step 4: Simplify right side
    584,009.75x = 254,463,674,142.91
  5. Step 5: Solve for x
    x = 254,463,674,142.91/584,009.75
  6. Step 6: Final answer
    x = 435,718.20

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1.5x scale

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.