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Finding the Fourth Proportional to 1,688,316, 2,532,474 and 506,364

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Solution

The fourth proportional to 1,688,316, 2,532,474 and 506,364 is: 759,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,316 : 2,532,474 = 506,364 : x
  2. Step 2: Convert to fraction form
    1,688,316/2,532,474 = 506,364/x
  3. Step 3: Cross multiply
    1,688,316x = 2,532,474 × 506,364
  4. Step 4: Simplify right side
    1,688,316x = 1,282,353,664,536
  5. Step 5: Solve for x
    x = 1,282,353,664,536/1,688,316
  6. Step 6: Final answer
    x = 759,546

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