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Finding the Fourth Proportional to 583,946.99, 805,709.32 and 354,498.50

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Solution

The fourth proportional to 583,946.99, 805,709.32 and 354,498.50 is: 489,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,946.99 : 805,709.32 = 354,498.50 : x
  2. Step 2: Convert to fraction form
    583,946.99/805,709.32 = 354,498.50/x
  3. Step 3: Cross multiply
    583,946.99x = 805,709.32 × 354,498.50
  4. Step 4: Simplify right side
    583,946.99x = 285,622,740,461.23
  5. Step 5: Solve for x
    x = 285,622,740,461.23/583,946.99
  6. Step 6: Final answer
    x = 489,124.43

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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.