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Finding the Fourth Proportional to 473,946.42, 710,920.98 and 137,014.50

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Solution

The fourth proportional to 473,946.42, 710,920.98 and 137,014.50 is: 205,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,946.42 : 710,920.98 = 137,014.50 : x
  2. Step 2: Convert to fraction form
    473,946.42/710,920.98 = 137,014.50/x
  3. Step 3: Cross multiply
    473,946.42x = 710,920.98 × 137,014.50
  4. Step 4: Simplify right side
    473,946.42x = 97,406,482,614.21
  5. Step 5: Solve for x
    x = 97,406,482,614.21/473,946.42
  6. Step 6: Final answer
    x = 205,522.14

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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.