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Finding the Fourth Proportional to 515,184, 710,712 and 364,364.16

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Solution

The fourth proportional to 515,184, 710,712 and 364,364.16 is: 502,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,184 : 710,712 = 364,364.16 : x
  2. Step 2: Convert to fraction form
    515,184/710,712 = 364,364.16/x
  3. Step 3: Cross multiply
    515,184x = 710,712 × 364,364.16
  4. Step 4: Simplify right side
    515,184x = 258,957,980,881.92
  5. Step 5: Solve for x
    x = 258,957,980,881.92/515,184
  6. Step 6: Final answer
    x = 502,651.44

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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.