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Finding the Fourth Proportional to 705,313.66, 973,352.16 and 414,945.67

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Solution

The fourth proportional to 705,313.66, 973,352.16 and 414,945.67 is: 572,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,313.66 : 973,352.16 = 414,945.67 : x
  2. Step 2: Convert to fraction form
    705,313.66/973,352.16 = 414,945.67/x
  3. Step 3: Cross multiply
    705,313.66x = 973,352.16 × 414,945.67
  4. Step 4: Simplify right side
    705,313.66x = 403,888,264,177.15
  5. Step 5: Solve for x
    x = 403,888,264,177.15/705,313.66
  6. Step 6: Final answer
    x = 572,636.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.