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Finding the Fourth Proportional to 583,416, 805,093.92 and 328,752

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Solution

The fourth proportional to 583,416, 805,093.92 and 328,752 is: 453,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,416 : 805,093.92 = 328,752 : x
  2. Step 2: Convert to fraction form
    583,416/805,093.92 = 328,752/x
  3. Step 3: Cross multiply
    583,416x = 805,093.92 × 328,752
  4. Step 4: Simplify right side
    583,416x = 264,676,236,387.84
  5. Step 5: Solve for x
    x = 264,676,236,387.84/583,416
  6. Step 6: Final answer
    x = 453,666.40

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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.