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Finding the Fourth Proportional to 470,113.69, 648,756.93 and 255,253.90

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Solution

The fourth proportional to 470,113.69, 648,756.93 and 255,253.90 is: 352,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,113.69 : 648,756.93 = 255,253.90 : x
  2. Step 2: Convert to fraction form
    470,113.69/648,756.93 = 255,253.90/x
  3. Step 3: Cross multiply
    470,113.69x = 648,756.93 × 255,253.90
  4. Step 4: Simplify right side
    470,113.69x = 165,597,736,534.53
  5. Step 5: Solve for x
    x = 165,597,736,534.53/470,113.69
  6. Step 6: Final answer
    x = 352,250.40

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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.