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Finding the Fourth Proportional to 314,390.90, 473,704.64 and 259,461.36

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Solution

The fourth proportional to 314,390.90, 473,704.64 and 259,461.36 is: 390,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,390.90 : 473,704.64 = 259,461.36 : x
  2. Step 2: Convert to fraction form
    314,390.90/473,704.64 = 259,461.36/x
  3. Step 3: Cross multiply
    314,390.90x = 473,704.64 × 259,461.36
  4. Step 4: Simplify right side
    314,390.90x = 122,908,049,808.38
  5. Step 5: Solve for x
    x = 122,908,049,808.38/314,390.90
  6. Step 6: Final answer
    x = 390,940.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.