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Finding the Fourth Proportional to 466,368, 643,587.84 and 265,164

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Solution

The fourth proportional to 466,368, 643,587.84 and 265,164 is: 365,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,368 : 643,587.84 = 265,164 : x
  2. Step 2: Convert to fraction form
    466,368/643,587.84 = 265,164/x
  3. Step 3: Cross multiply
    466,368x = 643,587.84 × 265,164
  4. Step 4: Simplify right side
    466,368x = 170,656,326,005.76
  5. Step 5: Solve for x
    x = 170,656,326,005.76/466,368
  6. Step 6: Final answer
    x = 365,926.32

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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.