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Finding the Fourth Proportional to 583,824, 805,678.08 and 315,552

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Solution

The fourth proportional to 583,824, 805,678.08 and 315,552 is: 435,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,824 : 805,678.08 = 315,552 : x
  2. Step 2: Convert to fraction form
    583,824/805,678.08 = 315,552/x
  3. Step 3: Cross multiply
    583,824x = 805,678.08 × 315,552
  4. Step 4: Simplify right side
    583,824x = 254,233,329,500.16
  5. Step 5: Solve for x
    x = 254,233,329,500.16/583,824
  6. Step 6: Final answer
    x = 435,462.28

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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.