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Finding the Fourth Proportional to 462,215.84, 692,814.90 and 302,225.80

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Solution

The fourth proportional to 462,215.84, 692,814.90 and 302,225.80 is: 453,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,215.84 : 692,814.90 = 302,225.80 : x
  2. Step 2: Convert to fraction form
    462,215.84/692,814.90 = 302,225.80/x
  3. Step 3: Cross multiply
    462,215.84x = 692,814.90 × 302,225.80
  4. Step 4: Simplify right side
    462,215.84x = 209,386,537,404.42
  5. Step 5: Solve for x
    x = 209,386,537,404.42/462,215.84
  6. Step 6: Final answer
    x = 453,005.98

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1.5x scale

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.