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Finding the Fourth Proportional to 1,402,010, 1,934,457 and 829,074.32

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Solution

The fourth proportional to 1,402,010, 1,934,457 and 829,074.32 is: 1,143,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,010 : 1,934,457 = 829,074.32 : x
  2. Step 2: Convert to fraction form
    1,402,010/1,934,457 = 829,074.32/x
  3. Step 3: Cross multiply
    1,402,010x = 1,934,457 × 829,074.32
  4. Step 4: Simplify right side
    1,402,010x = 1,603,808,621,844.24
  5. Step 5: Solve for x
    x = 1,603,808,621,844.24/1,402,010
  6. Step 6: Final answer
    x = 1,143,935.22

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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.