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Finding the Fourth Proportional to 649,567, 974,235.48 and 176,289.16

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Solution

The fourth proportional to 649,567, 974,235.48 and 176,289.16 is: 264,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,567 : 974,235.48 = 176,289.16 : x
  2. Step 2: Convert to fraction form
    649,567/974,235.48 = 176,289.16/x
  3. Step 3: Cross multiply
    649,567x = 974,235.48 × 176,289.16
  4. Step 4: Simplify right side
    649,567x = 171,747,154,411.40
  5. Step 5: Solve for x
    x = 171,747,154,411.40/649,567
  6. Step 6: Final answer
    x = 264,402.52

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1.5x scale

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.