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Finding the Fourth Proportional to 686,797.92, 947,777.76 and 432,483.84

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Solution

The fourth proportional to 686,797.92, 947,777.76 and 432,483.84 is: 596,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,797.92 : 947,777.76 = 432,483.84 : x
  2. Step 2: Convert to fraction form
    686,797.92/947,777.76 = 432,483.84/x
  3. Step 3: Cross multiply
    686,797.92x = 947,777.76 × 432,483.84
  4. Step 4: Simplify right side
    686,797.92x = 409,898,565,111.40
  5. Step 5: Solve for x
    x = 409,898,565,111.40/686,797.92
  6. Step 6: Final answer
    x = 596,825.58

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1.5x scale

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.