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Finding the Fourth Proportional to 470,417.42, 702,071.04 and 425,016.62

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Solution

The fourth proportional to 470,417.42, 702,071.04 and 425,016.62 is: 634,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,417.42 : 702,071.04 = 425,016.62 : x
  2. Step 2: Convert to fraction form
    470,417.42/702,071.04 = 425,016.62/x
  3. Step 3: Cross multiply
    470,417.42x = 702,071.04 × 425,016.62
  4. Step 4: Simplify right side
    470,417.42x = 298,391,861,136.91
  5. Step 5: Solve for x
    x = 298,391,861,136.91/470,417.42
  6. Step 6: Final answer
    x = 634,312.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.