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Finding the Fourth Proportional to 1,688,267, 2,532,400.50 and 506,315

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Solution

The fourth proportional to 1,688,267, 2,532,400.50 and 506,315 is: 759,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,267 : 2,532,400.50 = 506,315 : x
  2. Step 2: Convert to fraction form
    1,688,267/2,532,400.50 = 506,315/x
  3. Step 3: Cross multiply
    1,688,267x = 2,532,400.50 × 506,315
  4. Step 4: Simplify right side
    1,688,267x = 1,282,192,359,157.50
  5. Step 5: Solve for x
    x = 1,282,192,359,157.50/1,688,267
  6. Step 6: Final answer
    x = 759,472.50

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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.