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Finding the Fourth Proportional to 586,178.94, 808,970.46 and 328,081.77

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Solution

The fourth proportional to 586,178.94, 808,970.46 and 328,081.77 is: 452,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,178.94 : 808,970.46 = 328,081.77 : x
  2. Step 2: Convert to fraction form
    586,178.94/808,970.46 = 328,081.77/x
  3. Step 3: Cross multiply
    586,178.94x = 808,970.46 × 328,081.77
  4. Step 4: Simplify right side
    586,178.94x = 265,408,460,394.51
  5. Step 5: Solve for x
    x = 265,408,460,394.51/586,178.94
  6. Step 6: Final answer
    x = 452,777.20

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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.