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Finding the Fourth Proportional to 473,514.40, 710,271.60 and 421,904.80

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Solution

The fourth proportional to 473,514.40, 710,271.60 and 421,904.80 is: 632,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,514.40 : 710,271.60 = 421,904.80 : x
  2. Step 2: Convert to fraction form
    473,514.40/710,271.60 = 421,904.80/x
  3. Step 3: Cross multiply
    473,514.40x = 710,271.60 × 421,904.80
  4. Step 4: Simplify right side
    473,514.40x = 299,666,997,343.68
  5. Step 5: Solve for x
    x = 299,666,997,343.68/473,514.40
  6. Step 6: Final answer
    x = 632,857.20

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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.