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Finding the Fourth Proportional to 1,657,784, 2,486,676 and 535,853

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Solution

The fourth proportional to 1,657,784, 2,486,676 and 535,853 is: 803,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,784 : 2,486,676 = 535,853 : x
  2. Step 2: Convert to fraction form
    1,657,784/2,486,676 = 535,853/x
  3. Step 3: Cross multiply
    1,657,784x = 2,486,676 × 535,853
  4. Step 4: Simplify right side
    1,657,784x = 1,332,492,794,628
  5. Step 5: Solve for x
    x = 1,332,492,794,628/1,657,784
  6. Step 6: Final answer
    x = 803,779.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.