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Finding the Fourth Proportional to 473,900.16, 710,886.98 and 158,358.20

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Solution

The fourth proportional to 473,900.16, 710,886.98 and 158,358.20 is: 237,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,900.16 : 710,886.98 = 158,358.20 : x
  2. Step 2: Convert to fraction form
    473,900.16/710,886.98 = 158,358.20/x
  3. Step 3: Cross multiply
    473,900.16x = 710,886.98 × 158,358.20
  4. Step 4: Simplify right side
    473,900.16x = 112,574,782,556.24
  5. Step 5: Solve for x
    x = 112,574,782,556.24/473,900.16
  6. Step 6: Final answer
    x = 237,549.58

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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.