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Finding the Fourth Proportional to 460,045.70, 688,756.35 and 407,557.70

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Solution

The fourth proportional to 460,045.70, 688,756.35 and 407,557.70 is: 610,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,045.70 : 688,756.35 = 407,557.70 : x
  2. Step 2: Convert to fraction form
    460,045.70/688,756.35 = 407,557.70/x
  3. Step 3: Cross multiply
    460,045.70x = 688,756.35 × 407,557.70
  4. Step 4: Simplify right side
    460,045.70x = 280,707,953,866.40
  5. Step 5: Solve for x
    x = 280,707,953,866.40/460,045.70
  6. Step 6: Final answer
    x = 610,174.06

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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.