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Finding the Fourth Proportional to 476,412.60, 713,962.80 and 316,032.60

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Solution

The fourth proportional to 476,412.60, 713,962.80 and 316,032.60 is: 473,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,412.60 : 713,962.80 = 316,032.60 : x
  2. Step 2: Convert to fraction form
    476,412.60/713,962.80 = 316,032.60/x
  3. Step 3: Cross multiply
    476,412.60x = 713,962.80 × 316,032.60
  4. Step 4: Simplify right side
    476,412.60x = 225,635,519,987.28
  5. Step 5: Solve for x
    x = 225,635,519,987.28/476,412.60
  6. Step 6: Final answer
    x = 473,613.67

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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.