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Finding the Fourth Proportional to 583,346, 805,018.02 and 315,074

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Solution

The fourth proportional to 583,346, 805,018.02 and 315,074 is: 434,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,346 : 805,018.02 = 315,074 : x
  2. Step 2: Convert to fraction form
    583,346/805,018.02 = 315,074/x
  3. Step 3: Cross multiply
    583,346x = 805,018.02 × 315,074
  4. Step 4: Simplify right side
    583,346x = 253,640,247,633.48
  5. Step 5: Solve for x
    x = 253,640,247,633.48/583,346
  6. Step 6: Final answer
    x = 434,802.41

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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.