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Finding the Fourth Proportional to 760,338, 1,049,266.44 and 442,386

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Solution

The fourth proportional to 760,338, 1,049,266.44 and 442,386 is: 610,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,338 : 1,049,266.44 = 442,386 : x
  2. Step 2: Convert to fraction form
    760,338/1,049,266.44 = 442,386/x
  3. Step 3: Cross multiply
    760,338x = 1,049,266.44 × 442,386
  4. Step 4: Simplify right side
    760,338x = 464,180,783,325.84
  5. Step 5: Solve for x
    x = 464,180,783,325.84/760,338
  6. Step 6: Final answer
    x = 610,492.68

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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.