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Finding the Fourth Proportional to 470,847.40, 706,271.10 and 155,287.60

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Solution

The fourth proportional to 470,847.40, 706,271.10 and 155,287.60 is: 232,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,847.40 : 706,271.10 = 155,287.60 : x
  2. Step 2: Convert to fraction form
    470,847.40/706,271.10 = 155,287.60/x
  3. Step 3: Cross multiply
    470,847.40x = 706,271.10 × 155,287.60
  4. Step 4: Simplify right side
    470,847.40x = 109,675,144,068.36
  5. Step 5: Solve for x
    x = 109,675,144,068.36/470,847.40
  6. Step 6: Final answer
    x = 232,931.40

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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.