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Finding the Fourth Proportional to 583,352, 805,026.30 and 315,080

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Solution

The fourth proportional to 583,352, 805,026.30 and 315,080 is: 434,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,352 : 805,026.30 = 315,080 : x
  2. Step 2: Convert to fraction form
    583,352/805,026.30 = 315,080/x
  3. Step 3: Cross multiply
    583,352x = 805,026.30 × 315,080
  4. Step 4: Simplify right side
    583,352x = 253,647,686,604
  5. Step 5: Solve for x
    x = 253,647,686,604/583,352
  6. Step 6: Final answer
    x = 434,810.69

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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.